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Finding the Fourth Proportional to 260,279.68, 390,494.24 and 108,447.20

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Solution

The fourth proportional to 260,279.68, 390,494.24 and 108,447.20 is: 162,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,279.68 : 390,494.24 = 108,447.20 : x
  2. Step 2: Convert to fraction form
    260,279.68/390,494.24 = 108,447.20/x
  3. Step 3: Cross multiply
    260,279.68x = 390,494.24 × 108,447.20
  4. Step 4: Simplify right side
    260,279.68x = 42,348,006,944.13
  5. Step 5: Solve for x
    x = 42,348,006,944.13/260,279.68
  6. Step 6: Final answer
    x = 162,701.93

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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.