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Finding the Fourth Proportional to 345,024.60, 517,536.90 and 261,043.80

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Solution

The fourth proportional to 345,024.60, 517,536.90 and 261,043.80 is: 391,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,024.60 : 517,536.90 = 261,043.80 : x
  2. Step 2: Convert to fraction form
    345,024.60/517,536.90 = 261,043.80/x
  3. Step 3: Cross multiply
    345,024.60x = 517,536.90 × 261,043.80
  4. Step 4: Simplify right side
    345,024.60x = 135,099,799,016.22
  5. Step 5: Solve for x
    x = 135,099,799,016.22/345,024.60
  6. Step 6: Final answer
    x = 391,565.70

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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.