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Finding the Fourth Proportional to 273,543.20, 410,084.40 and 142,215.20

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Solution

The fourth proportional to 273,543.20, 410,084.40 and 142,215.20 is: 213,203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,543.20 : 410,084.40 = 142,215.20 : x
  2. Step 2: Convert to fraction form
    273,543.20/410,084.40 = 142,215.20/x
  3. Step 3: Cross multiply
    273,543.20x = 410,084.40 × 142,215.20
  4. Step 4: Simplify right side
    273,543.20x = 58,320,234,962.88
  5. Step 5: Solve for x
    x = 58,320,234,962.88/273,543.20
  6. Step 6: Final answer
    x = 213,203.01

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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.