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Finding the Fourth Proportional to 527,391.89, 727,748.67 and 294,775.28

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Solution

The fourth proportional to 527,391.89, 727,748.67 and 294,775.28 is: 406,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,391.89 : 727,748.67 = 294,775.28 : x
  2. Step 2: Convert to fraction form
    527,391.89/727,748.67 = 294,775.28/x
  3. Step 3: Cross multiply
    527,391.89x = 727,748.67 × 294,775.28
  4. Step 4: Simplify right side
    527,391.89x = 214,522,317,968.88
  5. Step 5: Solve for x
    x = 214,522,317,968.88/527,391.89
  6. Step 6: Final answer
    x = 406,760.74

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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.