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Finding the Fourth Proportional to 485,422.40, 727,615.20 and 185,787.20

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Solution

The fourth proportional to 485,422.40, 727,615.20 and 185,787.20 is: 278,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,422.40 : 727,615.20 = 185,787.20 : x
  2. Step 2: Convert to fraction form
    485,422.40/727,615.20 = 185,787.20/x
  3. Step 3: Cross multiply
    485,422.40x = 727,615.20 × 185,787.20
  4. Step 4: Simplify right side
    485,422.40x = 135,181,590,685.44
  5. Step 5: Solve for x
    x = 135,181,590,685.44/485,422.40
  6. Step 6: Final answer
    x = 278,482.39

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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.