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Finding the Fourth Proportional to 527,071.77, 727,359.35 and 285,354.41

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Solution

The fourth proportional to 527,071.77, 727,359.35 and 285,354.41 is: 393,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,071.77 : 727,359.35 = 285,354.41 : x
  2. Step 2: Convert to fraction form
    527,071.77/727,359.35 = 285,354.41/x
  3. Step 3: Cross multiply
    527,071.77x = 727,359.35 × 285,354.41
  4. Step 4: Simplify right side
    527,071.77x = 207,555,193,113.67
  5. Step 5: Solve for x
    x = 207,555,193,113.67/527,071.77
  6. Step 6: Final answer
    x = 393,789.24

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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.