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Finding the Fourth Proportional to 485,212.80, 727,689.60 and 148,252.80

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Solution

The fourth proportional to 485,212.80, 727,689.60 and 148,252.80 is: 222,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,212.80 : 727,689.60 = 148,252.80 : x
  2. Step 2: Convert to fraction form
    485,212.80/727,689.60 = 148,252.80/x
  3. Step 3: Cross multiply
    485,212.80x = 727,689.60 × 148,252.80
  4. Step 4: Simplify right side
    485,212.80x = 107,882,020,730.88
  5. Step 5: Solve for x
    x = 107,882,020,730.88/485,212.80
  6. Step 6: Final answer
    x = 222,339.60

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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.