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Finding the Fourth Proportional to 516,973.28, 775,496.96 and 137,892

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Solution

The fourth proportional to 516,973.28, 775,496.96 and 137,892 is: 206,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,973.28 : 775,496.96 = 137,892 : x
  2. Step 2: Convert to fraction form
    516,973.28/775,496.96 = 137,892/x
  3. Step 3: Cross multiply
    516,973.28x = 775,496.96 × 137,892
  4. Step 4: Simplify right side
    516,973.28x = 106,934,826,808.32
  5. Step 5: Solve for x
    x = 106,934,826,808.32/516,973.28
  6. Step 6: Final answer
    x = 206,847.88

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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.