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Finding the Fourth Proportional to 485,059.32, 727,411.59 and 185,391.72

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Solution

The fourth proportional to 485,059.32, 727,411.59 and 185,391.72 is: 278,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,059.32 : 727,411.59 = 185,391.72 : x
  2. Step 2: Convert to fraction form
    485,059.32/727,411.59 = 185,391.72/x
  3. Step 3: Cross multiply
    485,059.32x = 727,411.59 × 185,391.72
  4. Step 4: Simplify right side
    485,059.32x = 134,856,085,818.04
  5. Step 5: Solve for x
    x = 134,856,085,818.04/485,059.32
  6. Step 6: Final answer
    x = 278,019.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.