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Finding the Fourth Proportional to 527,178.78, 727,560.42 and 380,124.61

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Solution

The fourth proportional to 527,178.78, 727,560.42 and 380,124.61 is: 524,610.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,178.78 : 727,560.42 = 380,124.61 : x
  2. Step 2: Convert to fraction form
    527,178.78/727,560.42 = 380,124.61/x
  3. Step 3: Cross multiply
    527,178.78x = 727,560.42 × 380,124.61
  4. Step 4: Simplify right side
    527,178.78x = 276,563,620,903.94
  5. Step 5: Solve for x
    x = 276,563,620,903.94/527,178.78
  6. Step 6: Final answer
    x = 524,610.69

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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.