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Finding the Fourth Proportional to 527,715.47, 728,247.13 and 285,998.02

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Solution

The fourth proportional to 527,715.47, 728,247.13 and 285,998.02 is: 394,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,715.47 : 728,247.13 = 285,998.02 : x
  2. Step 2: Convert to fraction form
    527,715.47/728,247.13 = 285,998.02/x
  3. Step 3: Cross multiply
    527,715.47x = 728,247.13 × 285,998.02
  4. Step 4: Simplify right side
    527,715.47x = 208,277,234,715.07
  5. Step 5: Solve for x
    x = 208,277,234,715.07/527,715.47
  6. Step 6: Final answer
    x = 394,677.14

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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.