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Finding the Fourth Proportional to 420,043.92, 629,353.08 and 253,482

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Solution

The fourth proportional to 420,043.92, 629,353.08 and 253,482 is: 379,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,043.92 : 629,353.08 = 253,482 : x
  2. Step 2: Convert to fraction form
    420,043.92/629,353.08 = 253,482/x
  3. Step 3: Cross multiply
    420,043.92x = 629,353.08 × 253,482
  4. Step 4: Simplify right side
    420,043.92x = 159,529,677,424.56
  5. Step 5: Solve for x
    x = 159,529,677,424.56/420,043.92
  6. Step 6: Final answer
    x = 379,792.85

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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.