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Finding the Fourth Proportional to 412,800, 619,207.68 and 117,319.68

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Solution

The fourth proportional to 412,800, 619,207.68 and 117,319.68 is: 175,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,800 : 619,207.68 = 117,319.68 : x
  2. Step 2: Convert to fraction form
    412,800/619,207.68 = 117,319.68/x
  3. Step 3: Cross multiply
    412,800x = 619,207.68 × 117,319.68
  4. Step 4: Simplify right side
    412,800x = 72,645,246,871.14
  5. Step 5: Solve for x
    x = 72,645,246,871.14/412,800
  6. Step 6: Final answer
    x = 175,981.70

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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.