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Finding the Fourth Proportional to 260,818.14, 390,992.49 and 94,489.50

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Solution

The fourth proportional to 260,818.14, 390,992.49 and 94,489.50 is: 141,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,818.14 : 390,992.49 = 94,489.50 : x
  2. Step 2: Convert to fraction form
    260,818.14/390,992.49 = 94,489.50/x
  3. Step 3: Cross multiply
    260,818.14x = 390,992.49 × 94,489.50
  4. Step 4: Simplify right side
    260,818.14x = 36,944,684,883.86
  5. Step 5: Solve for x
    x = 36,944,684,883.86/260,818.14
  6. Step 6: Final answer
    x = 141,649.22

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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.