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Finding the Fourth Proportional to 485,420.40, 727,612.20 and 185,785.20

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Solution

The fourth proportional to 485,420.40, 727,612.20 and 185,785.20 is: 278,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,420.40 : 727,612.20 = 185,785.20 : x
  2. Step 2: Convert to fraction form
    485,420.40/727,612.20 = 185,785.20/x
  3. Step 3: Cross multiply
    485,420.40x = 727,612.20 × 185,785.20
  4. Step 4: Simplify right side
    485,420.40x = 135,179,578,099.44
  5. Step 5: Solve for x
    x = 135,179,578,099.44/485,420.40
  6. Step 6: Final answer
    x = 278,479.39

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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.