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Finding the Fourth Proportional to 527,472.83, 727,911.63 and 285,761.54

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Solution

The fourth proportional to 527,472.83, 727,911.63 and 285,761.54 is: 394,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,472.83 : 727,911.63 = 285,761.54 : x
  2. Step 2: Convert to fraction form
    527,472.83/727,911.63 = 285,761.54/x
  3. Step 3: Cross multiply
    527,472.83x = 727,911.63 × 285,761.54
  4. Step 4: Simplify right side
    527,472.83x = 208,009,150,192.49
  5. Step 5: Solve for x
    x = 208,009,150,192.49/527,472.83
  6. Step 6: Final answer
    x = 394,350.45

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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.