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Finding the Fourth Proportional to 527,810.35, 728,360.52 and 312,822.78

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Solution

The fourth proportional to 527,810.35, 728,360.52 and 312,822.78 is: 431,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,810.35 : 728,360.52 = 312,822.78 : x
  2. Step 2: Convert to fraction form
    527,810.35/728,360.52 = 312,822.78/x
  3. Step 3: Cross multiply
    527,810.35x = 728,360.52 × 312,822.78
  4. Step 4: Simplify right side
    527,810.35x = 227,847,761,535.56
  5. Step 5: Solve for x
    x = 227,847,761,535.56/527,810.35
  6. Step 6: Final answer
    x = 431,684.91

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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.