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Finding the Fourth Proportional to 402,153.57, 603,229.87 and 102,634.18

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Solution

The fourth proportional to 402,153.57, 603,229.87 and 102,634.18 is: 153,951.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,153.57 : 603,229.87 = 102,634.18 : x
  2. Step 2: Convert to fraction form
    402,153.57/603,229.87 = 102,634.18/x
  3. Step 3: Cross multiply
    402,153.57x = 603,229.87 × 102,634.18
  4. Step 4: Simplify right side
    402,153.57x = 61,912,003,556.41
  5. Step 5: Solve for x
    x = 61,912,003,556.41/402,153.57
  6. Step 6: Final answer
    x = 153,951.15

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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.