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Finding the Fourth Proportional to 517,132.28, 713,291.72 and 335,519.76

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Solution

The fourth proportional to 517,132.28, 713,291.72 and 335,519.76 is: 462,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,132.28 : 713,291.72 = 335,519.76 : x
  2. Step 2: Convert to fraction form
    517,132.28/713,291.72 = 335,519.76/x
  3. Step 3: Cross multiply
    517,132.28x = 713,291.72 × 335,519.76
  4. Step 4: Simplify right side
    517,132.28x = 239,323,466,704.39
  5. Step 5: Solve for x
    x = 239,323,466,704.39/517,132.28
  6. Step 6: Final answer
    x = 462,789.65

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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.