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Finding the Fourth Proportional to 516,687.56, 712,731.56 and 322,758.14

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Solution

The fourth proportional to 516,687.56, 712,731.56 and 322,758.14 is: 445,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,687.56 : 712,731.56 = 322,758.14 : x
  2. Step 2: Convert to fraction form
    516,687.56/712,731.56 = 322,758.14/x
  3. Step 3: Cross multiply
    516,687.56x = 712,731.56 × 322,758.14
  4. Step 4: Simplify right side
    516,687.56x = 230,039,912,624.90
  5. Step 5: Solve for x
    x = 230,039,912,624.90/516,687.56
  6. Step 6: Final answer
    x = 445,220.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.