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Finding the Fourth Proportional to 274,031.76, 411,045.84 and 140,949.12

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Solution

The fourth proportional to 274,031.76, 411,045.84 and 140,949.12 is: 211,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,031.76 : 411,045.84 = 140,949.12 : x
  2. Step 2: Convert to fraction form
    274,031.76/411,045.84 = 140,949.12/x
  3. Step 3: Cross multiply
    274,031.76x = 411,045.84 × 140,949.12
  4. Step 4: Simplify right side
    274,031.76x = 57,936,549,427.66
  5. Step 5: Solve for x
    x = 57,936,549,427.66/274,031.76
  6. Step 6: Final answer
    x = 211,422.75

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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.