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Finding the Fourth Proportional to 527,390.89, 727,747.29 and 294,774.28

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Solution

The fourth proportional to 527,390.89, 727,747.29 and 294,774.28 is: 406,759.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,390.89 : 727,747.29 = 294,774.28 : x
  2. Step 2: Convert to fraction form
    527,390.89/727,747.29 = 294,774.28/x
  3. Step 3: Cross multiply
    527,390.89x = 727,747.29 × 294,774.28
  4. Step 4: Simplify right side
    527,390.89x = 214,521,181,612.33
  5. Step 5: Solve for x
    x = 214,521,181,612.33/527,390.89
  6. Step 6: Final answer
    x = 406,759.36

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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.