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Finding the Fourth Proportional to 493,381.92, 739,629.84 and 409,680

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Solution

The fourth proportional to 493,381.92, 739,629.84 and 409,680 is: 614,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,381.92 : 739,629.84 = 409,680 : x
  2. Step 2: Convert to fraction form
    493,381.92/739,629.84 = 409,680/x
  3. Step 3: Cross multiply
    493,381.92x = 739,629.84 × 409,680
  4. Step 4: Simplify right side
    493,381.92x = 303,011,552,851.20
  5. Step 5: Solve for x
    x = 303,011,552,851.20/493,381.92
  6. Step 6: Final answer
    x = 614,152.12

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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.