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Finding the Fourth Proportional to 457,813, 631,781.94 and 256,609

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Solution

The fourth proportional to 457,813, 631,781.94 and 256,609 is: 354,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,813 : 631,781.94 = 256,609 : x
  2. Step 2: Convert to fraction form
    457,813/631,781.94 = 256,609/x
  3. Step 3: Cross multiply
    457,813x = 631,781.94 × 256,609
  4. Step 4: Simplify right side
    457,813x = 162,120,931,841.46
  5. Step 5: Solve for x
    x = 162,120,931,841.46/457,813
  6. Step 6: Final answer
    x = 354,120.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.