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Finding the Fourth Proportional to 424,915.97, 638,002.10 and 283,641.44

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Solution

The fourth proportional to 424,915.97, 638,002.10 and 283,641.44 is: 425,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,915.97 : 638,002.10 = 283,641.44 : x
  2. Step 2: Convert to fraction form
    424,915.97/638,002.10 = 283,641.44/x
  3. Step 3: Cross multiply
    424,915.97x = 638,002.10 × 283,641.44
  4. Step 4: Simplify right side
    424,915.97x = 180,963,831,886.12
  5. Step 5: Solve for x
    x = 180,963,831,886.12/424,915.97
  6. Step 6: Final answer
    x = 425,881.46

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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.