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Finding the Fourth Proportional to 419,903.10, 629,854.65 and 233,279.10

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Solution

The fourth proportional to 419,903.10, 629,854.65 and 233,279.10 is: 349,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,903.10 : 629,854.65 = 233,279.10 : x
  2. Step 2: Convert to fraction form
    419,903.10/629,854.65 = 233,279.10/x
  3. Step 3: Cross multiply
    419,903.10x = 629,854.65 × 233,279.10
  4. Step 4: Simplify right side
    419,903.10x = 146,931,925,882.82
  5. Step 5: Solve for x
    x = 146,931,925,882.82/419,903.10
  6. Step 6: Final answer
    x = 349,918.65

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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.