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Finding the Fourth Proportional to 527,412.96, 727,830.72 and 312,658.56

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Solution

The fourth proportional to 527,412.96, 727,830.72 and 312,658.56 is: 431,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,412.96 : 727,830.72 = 312,658.56 : x
  2. Step 2: Convert to fraction form
    527,412.96/727,830.72 = 312,658.56/x
  3. Step 3: Cross multiply
    527,412.96x = 727,830.72 × 312,658.56
  4. Step 4: Simplify right side
    527,412.96x = 227,562,504,838.96
  5. Step 5: Solve for x
    x = 227,562,504,838.96/527,412.96
  6. Step 6: Final answer
    x = 431,469.31

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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.