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Finding the Fourth Proportional to 516,557.49, 774,842.70 and 137,475.87

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Solution

The fourth proportional to 516,557.49, 774,842.70 and 137,475.87 is: 206,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,557.49 : 774,842.70 = 137,475.87 : x
  2. Step 2: Convert to fraction form
    516,557.49/774,842.70 = 137,475.87/x
  3. Step 3: Cross multiply
    516,557.49x = 774,842.70 × 137,475.87
  4. Step 4: Simplify right side
    516,557.49x = 106,522,174,295.65
  5. Step 5: Solve for x
    x = 106,522,174,295.65/516,557.49
  6. Step 6: Final answer
    x = 206,215.53

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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.