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Finding the Fourth Proportional to 403,443.30, 604,989.90 and 137,132.28

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Solution

The fourth proportional to 403,443.30, 604,989.90 and 137,132.28 is: 205,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,443.30 : 604,989.90 = 137,132.28 : x
  2. Step 2: Convert to fraction form
    403,443.30/604,989.90 = 137,132.28/x
  3. Step 3: Cross multiply
    403,443.30x = 604,989.90 × 137,132.28
  4. Step 4: Simplify right side
    403,443.30x = 82,963,644,363.97
  5. Step 5: Solve for x
    x = 82,963,644,363.97/403,443.30
  6. Step 6: Final answer
    x = 205,638.92

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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.