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Finding the Fourth Proportional to 527,882.53, 728,306.62 and 298,417.63

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Solution

The fourth proportional to 527,882.53, 728,306.62 and 298,417.63 is: 411,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,882.53 : 728,306.62 = 298,417.63 : x
  2. Step 2: Convert to fraction form
    527,882.53/728,306.62 = 298,417.63/x
  3. Step 3: Cross multiply
    527,882.53x = 728,306.62 × 298,417.63
  4. Step 4: Simplify right side
    527,882.53x = 217,339,535,453.71
  5. Step 5: Solve for x
    x = 217,339,535,453.71/527,882.53
  6. Step 6: Final answer
    x = 411,719.51

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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.