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Finding the Fourth Proportional to 485,344.80, 727,671.60 and 185,709.60

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Solution

The fourth proportional to 485,344.80, 727,671.60 and 185,709.60 is: 278,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,344.80 : 727,671.60 = 185,709.60 : x
  2. Step 2: Convert to fraction form
    485,344.80/727,671.60 = 185,709.60/x
  3. Step 3: Cross multiply
    485,344.80x = 727,671.60 × 185,709.60
  4. Step 4: Simplify right side
    485,344.80x = 135,135,601,767.36
  5. Step 5: Solve for x
    x = 135,135,601,767.36/485,344.80
  6. Step 6: Final answer
    x = 278,432.16

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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.