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Finding the Fourth Proportional to 279,699.40, 419,549.10 and 80,031.70

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Solution

The fourth proportional to 279,699.40, 419,549.10 and 80,031.70 is: 120,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,699.40 : 419,549.10 = 80,031.70 : x
  2. Step 2: Convert to fraction form
    279,699.40/419,549.10 = 80,031.70/x
  3. Step 3: Cross multiply
    279,699.40x = 419,549.10 × 80,031.70
  4. Step 4: Simplify right side
    279,699.40x = 33,577,227,706.47
  5. Step 5: Solve for x
    x = 33,577,227,706.47/279,699.40
  6. Step 6: Final answer
    x = 120,047.55

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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.