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Finding the Fourth Proportional to 542,143.20, 748,422 and 360,962.40

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Solution

The fourth proportional to 542,143.20, 748,422 and 360,962.40 is: 498,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,143.20 : 748,422 = 360,962.40 : x
  2. Step 2: Convert to fraction form
    542,143.20/748,422 = 360,962.40/x
  3. Step 3: Cross multiply
    542,143.20x = 748,422 × 360,962.40
  4. Step 4: Simplify right side
    542,143.20x = 270,152,201,332.80
  5. Step 5: Solve for x
    x = 270,152,201,332.80/542,143.20
  6. Step 6: Final answer
    x = 498,304.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.