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Finding the Fourth Proportional to 527,793.42, 728,337.21 and 312,805.86

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Solution

The fourth proportional to 527,793.42, 728,337.21 and 312,805.86 is: 431,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,793.42 : 728,337.21 = 312,805.86 : x
  2. Step 2: Convert to fraction form
    527,793.42/728,337.21 = 312,805.86/x
  3. Step 3: Cross multiply
    527,793.42x = 728,337.21 × 312,805.86
  4. Step 4: Simplify right side
    527,793.42x = 227,828,147,344.05
  5. Step 5: Solve for x
    x = 227,828,147,344.05/527,793.42
  6. Step 6: Final answer
    x = 431,661.59

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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.