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Finding the Fourth Proportional to 513,115.80, 769,673.70 and 233,179.80

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Solution

The fourth proportional to 513,115.80, 769,673.70 and 233,179.80 is: 349,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,115.80 : 769,673.70 = 233,179.80 : x
  2. Step 2: Convert to fraction form
    513,115.80/769,673.70 = 233,179.80/x
  3. Step 3: Cross multiply
    513,115.80x = 769,673.70 × 233,179.80
  4. Step 4: Simplify right side
    513,115.80x = 179,472,359,431.26
  5. Step 5: Solve for x
    x = 179,472,359,431.26/513,115.80
  6. Step 6: Final answer
    x = 349,769.70

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.