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Finding the Fourth Proportional to 502,893.60, 754,340.40 and 447,781.20

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Solution

The fourth proportional to 502,893.60, 754,340.40 and 447,781.20 is: 671,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,893.60 : 754,340.40 = 447,781.20 : x
  2. Step 2: Convert to fraction form
    502,893.60/754,340.40 = 447,781.20/x
  3. Step 3: Cross multiply
    502,893.60x = 754,340.40 × 447,781.20
  4. Step 4: Simplify right side
    502,893.60x = 337,779,449,520.48
  5. Step 5: Solve for x
    x = 337,779,449,520.48/502,893.60
  6. Step 6: Final answer
    x = 671,671.80

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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.