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Finding the Fourth Proportional to 585,634.80, 878,452.20 and 142,402.80

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Solution

The fourth proportional to 585,634.80, 878,452.20 and 142,402.80 is: 213,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,634.80 : 878,452.20 = 142,402.80 : x
  2. Step 2: Convert to fraction form
    585,634.80/878,452.20 = 142,402.80/x
  3. Step 3: Cross multiply
    585,634.80x = 878,452.20 × 142,402.80
  4. Step 4: Simplify right side
    585,634.80x = 125,094,052,946.16
  5. Step 5: Solve for x
    x = 125,094,052,946.16/585,634.80
  6. Step 6: Final answer
    x = 213,604.20

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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.