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Finding the Fourth Proportional to 207,031.20, 310,546.80 and 193,909.20

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Solution

The fourth proportional to 207,031.20, 310,546.80 and 193,909.20 is: 290,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,031.20 : 310,546.80 = 193,909.20 : x
  2. Step 2: Convert to fraction form
    207,031.20/310,546.80 = 193,909.20/x
  3. Step 3: Cross multiply
    207,031.20x = 310,546.80 × 193,909.20
  4. Step 4: Simplify right side
    207,031.20x = 60,217,881,550.56
  5. Step 5: Solve for x
    x = 60,217,881,550.56/207,031.20
  6. Step 6: Final answer
    x = 290,863.80

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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.