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Finding the Fourth Proportional to 516,456.68, 774,729.66 and 142,479.68

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Solution

The fourth proportional to 516,456.68, 774,729.66 and 142,479.68 is: 213,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,456.68 : 774,729.66 = 142,479.68 : x
  2. Step 2: Convert to fraction form
    516,456.68/774,729.66 = 142,479.68/x
  3. Step 3: Cross multiply
    516,456.68x = 774,729.66 × 142,479.68
  4. Step 4: Simplify right side
    516,456.68x = 110,383,230,169.66
  5. Step 5: Solve for x
    x = 110,383,230,169.66/516,456.68
  6. Step 6: Final answer
    x = 213,731.83

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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.