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Finding the Fourth Proportional to 402,153.50, 603,229.77 and 102,634.11

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Solution

The fourth proportional to 402,153.50, 603,229.77 and 102,634.11 is: 153,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,153.50 : 603,229.77 = 102,634.11 : x
  2. Step 2: Convert to fraction form
    402,153.50/603,229.77 = 102,634.11/x
  3. Step 3: Cross multiply
    402,153.50x = 603,229.77 × 102,634.11
  4. Step 4: Simplify right side
    402,153.50x = 61,911,950,056.28
  5. Step 5: Solve for x
    x = 61,911,950,056.28/402,153.50
  6. Step 6: Final answer
    x = 153,951.04

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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.