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Finding the Fourth Proportional to 459,010.60, 688,515.90 and 210,178.60

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Solution

The fourth proportional to 459,010.60, 688,515.90 and 210,178.60 is: 315,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,010.60 : 688,515.90 = 210,178.60 : x
  2. Step 2: Convert to fraction form
    459,010.60/688,515.90 = 210,178.60/x
  3. Step 3: Cross multiply
    459,010.60x = 688,515.90 × 210,178.60
  4. Step 4: Simplify right side
    459,010.60x = 144,711,307,939.74
  5. Step 5: Solve for x
    x = 144,711,307,939.74/459,010.60
  6. Step 6: Final answer
    x = 315,267.90

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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.