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Finding the Fourth Proportional to 402,369, 603,627.84 and 132,512.28

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Solution

The fourth proportional to 402,369, 603,627.84 and 132,512.28 is: 198,792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,369 : 603,627.84 = 132,512.28 : x
  2. Step 2: Convert to fraction form
    402,369/603,627.84 = 132,512.28/x
  3. Step 3: Cross multiply
    402,369x = 603,627.84 × 132,512.28
  4. Step 4: Simplify right side
    402,369x = 79,988,101,349.88
  5. Step 5: Solve for x
    x = 79,988,101,349.88/402,369
  6. Step 6: Final answer
    x = 198,792.90

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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.