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Finding the Fourth Proportional to 658,013.40, 987,480.90 and 421,930.20

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Solution

The fourth proportional to 658,013.40, 987,480.90 and 421,930.20 is: 633,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,013.40 : 987,480.90 = 421,930.20 : x
  2. Step 2: Convert to fraction form
    658,013.40/987,480.90 = 421,930.20/x
  3. Step 3: Cross multiply
    658,013.40x = 987,480.90 × 421,930.20
  4. Step 4: Simplify right side
    658,013.40x = 416,648,013,633.18
  5. Step 5: Solve for x
    x = 416,648,013,633.18/658,013.40
  6. Step 6: Final answer
    x = 633,190.77

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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.