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Finding the Fourth Proportional to 485,084.43, 727,626.69 and 185,656.86

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Solution

The fourth proportional to 485,084.43, 727,626.69 and 185,656.86 is: 278,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,084.43 : 727,626.69 = 185,656.86 : x
  2. Step 2: Convert to fraction form
    485,084.43/727,626.69 = 185,656.86/x
  3. Step 3: Cross multiply
    485,084.43x = 727,626.69 × 185,656.86
  4. Step 4: Simplify right side
    485,084.43x = 135,088,886,517.59
  5. Step 5: Solve for x
    x = 135,088,886,517.59/485,084.43
  6. Step 6: Final answer
    x = 278,485.31

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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.