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Finding the Fourth Proportional to 516,778.92, 775,280.16 and 156,920.22

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Solution

The fourth proportional to 516,778.92, 775,280.16 and 156,920.22 is: 235,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,778.92 : 775,280.16 = 156,920.22 : x
  2. Step 2: Convert to fraction form
    516,778.92/775,280.16 = 156,920.22/x
  3. Step 3: Cross multiply
    516,778.92x = 775,280.16 × 156,920.22
  4. Step 4: Simplify right side
    516,778.92x = 121,657,133,268.84
  5. Step 5: Solve for x
    x = 121,657,133,268.84/516,778.92
  6. Step 6: Final answer
    x = 235,414.27

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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.