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Finding the Fourth Proportional to 275,418.20, 413,127.30 and 98,125.40

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Solution

The fourth proportional to 275,418.20, 413,127.30 and 98,125.40 is: 147,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,418.20 : 413,127.30 = 98,125.40 : x
  2. Step 2: Convert to fraction form
    275,418.20/413,127.30 = 98,125.40/x
  3. Step 3: Cross multiply
    275,418.20x = 413,127.30 × 98,125.40
  4. Step 4: Simplify right side
    275,418.20x = 40,538,281,563.42
  5. Step 5: Solve for x
    x = 40,538,281,563.42/275,418.20
  6. Step 6: Final answer
    x = 147,188.10

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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.