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Finding the Fourth Proportional to 527,196.52, 727,541.22 and 288,732.52

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Solution

The fourth proportional to 527,196.52, 727,541.22 and 288,732.52 is: 398,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,196.52 : 727,541.22 = 288,732.52 : x
  2. Step 2: Convert to fraction form
    527,196.52/727,541.22 = 288,732.52/x
  3. Step 3: Cross multiply
    527,196.52x = 727,541.22 × 288,732.52
  4. Step 4: Simplify right side
    527,196.52x = 210,064,809,854.47
  5. Step 5: Solve for x
    x = 210,064,809,854.47/527,196.52
  6. Step 6: Final answer
    x = 398,456.37

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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.