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Finding the Fourth Proportional to 260,031.20, 390,046.80 and 207,543.20

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Solution

The fourth proportional to 260,031.20, 390,046.80 and 207,543.20 is: 311,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,031.20 : 390,046.80 = 207,543.20 : x
  2. Step 2: Convert to fraction form
    260,031.20/390,046.80 = 207,543.20/x
  3. Step 3: Cross multiply
    260,031.20x = 390,046.80 × 207,543.20
  4. Step 4: Simplify right side
    260,031.20x = 80,951,561,021.76
  5. Step 5: Solve for x
    x = 80,951,561,021.76/260,031.20
  6. Step 6: Final answer
    x = 311,314.80

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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.