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Finding the Fourth Proportional to 420,041.92, 629,350.08 and 253,480

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Solution

The fourth proportional to 420,041.92, 629,350.08 and 253,480 is: 379,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,041.92 : 629,350.08 = 253,480 : x
  2. Step 2: Convert to fraction form
    420,041.92/629,350.08 = 253,480/x
  3. Step 3: Cross multiply
    420,041.92x = 629,350.08 × 253,480
  4. Step 4: Simplify right side
    420,041.92x = 159,527,658,278.40
  5. Step 5: Solve for x
    x = 159,527,658,278.40/420,041.92
  6. Step 6: Final answer
    x = 379,789.85

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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.