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Finding the Fourth Proportional to 657,989.40, 987,444.90 and 421,906.20

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Solution

The fourth proportional to 657,989.40, 987,444.90 and 421,906.20 is: 633,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,989.40 : 987,444.90 = 421,906.20 : x
  2. Step 2: Convert to fraction form
    657,989.40/987,444.90 = 421,906.20/x
  3. Step 3: Cross multiply
    657,989.40x = 987,444.90 × 421,906.20
  4. Step 4: Simplify right side
    657,989.40x = 416,609,125,468.38
  5. Step 5: Solve for x
    x = 416,609,125,468.38/657,989.40
  6. Step 6: Final answer
    x = 633,154.77

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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.