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Finding the Fourth Proportional to 527,182.74, 727,483.41 and 312,342.66

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Solution

The fourth proportional to 527,182.74, 727,483.41 and 312,342.66 is: 431,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,182.74 : 727,483.41 = 312,342.66 : x
  2. Step 2: Convert to fraction form
    527,182.74/727,483.41 = 312,342.66/x
  3. Step 3: Cross multiply
    527,182.74x = 727,483.41 × 312,342.66
  4. Step 4: Simplify right side
    527,182.74x = 227,224,103,385.27
  5. Step 5: Solve for x
    x = 227,224,103,385.27/527,182.74
  6. Step 6: Final answer
    x = 431,015.82

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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.