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Finding the Fourth Proportional to 273,531.20, 410,066.40 and 142,203.20

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Solution

The fourth proportional to 273,531.20, 410,066.40 and 142,203.20 is: 213,185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,531.20 : 410,066.40 = 142,203.20 : x
  2. Step 2: Convert to fraction form
    273,531.20/410,066.40 = 142,203.20/x
  3. Step 3: Cross multiply
    273,531.20x = 410,066.40 × 142,203.20
  4. Step 4: Simplify right side
    273,531.20x = 58,312,754,292.48
  5. Step 5: Solve for x
    x = 58,312,754,292.48/273,531.20
  6. Step 6: Final answer
    x = 213,185.02

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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.