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Finding the Fourth Proportional to 412,874.92, 619,423.10 and 328,951.53

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Solution

The fourth proportional to 412,874.92, 619,423.10 and 328,951.53 is: 493,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,874.92 : 619,423.10 = 328,951.53 : x
  2. Step 2: Convert to fraction form
    412,874.92/619,423.10 = 328,951.53/x
  3. Step 3: Cross multiply
    412,874.92x = 619,423.10 × 328,951.53
  4. Step 4: Simplify right side
    412,874.92x = 203,760,176,051.15
  5. Step 5: Solve for x
    x = 203,760,176,051.15/412,874.92
  6. Step 6: Final answer
    x = 493,515.51

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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.