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Finding the Fourth Proportional to 412,854.92, 619,133.76 and 142,909.70

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Solution

The fourth proportional to 412,854.92, 619,133.76 and 142,909.70 is: 214,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,854.92 : 619,133.76 = 142,909.70 : x
  2. Step 2: Convert to fraction form
    412,854.92/619,133.76 = 142,909.70/x
  3. Step 3: Cross multiply
    412,854.92x = 619,133.76 × 142,909.70
  4. Step 4: Simplify right side
    412,854.92x = 88,480,221,449.31
  5. Step 5: Solve for x
    x = 88,480,221,449.31/412,854.92
  6. Step 6: Final answer
    x = 214,313.11

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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.