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Finding the Fourth Proportional to 412,691.84, 619,037.60 and 272,417.60

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Solution

The fourth proportional to 412,691.84, 619,037.60 and 272,417.60 is: 408,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,691.84 : 619,037.60 = 272,417.60 : x
  2. Step 2: Convert to fraction form
    412,691.84/619,037.60 = 272,417.60/x
  3. Step 3: Cross multiply
    412,691.84x = 619,037.60 × 272,417.60
  4. Step 4: Simplify right side
    412,691.84x = 168,636,737,301.76
  5. Step 5: Solve for x
    x = 168,636,737,301.76/412,691.84
  6. Step 6: Final answer
    x = 408,626.29

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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.