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Finding the Fourth Proportional to 527,891.28, 728,318.70 and 298,426.38

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Solution

The fourth proportional to 527,891.28, 728,318.70 and 298,426.38 is: 411,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,891.28 : 728,318.70 = 298,426.38 : x
  2. Step 2: Convert to fraction form
    527,891.28/728,318.70 = 298,426.38/x
  3. Step 3: Cross multiply
    527,891.28x = 728,318.70 × 298,426.38
  4. Step 4: Simplify right side
    527,891.28x = 217,349,513,127.31
  5. Step 5: Solve for x
    x = 217,349,513,127.31/527,891.28
  6. Step 6: Final answer
    x = 411,731.58

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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.