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Finding the Fourth Proportional to 390,646.68, 585,992.90 and 150,761.84

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Solution

The fourth proportional to 390,646.68, 585,992.90 and 150,761.84 is: 226,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,646.68 : 585,992.90 = 150,761.84 : x
  2. Step 2: Convert to fraction form
    390,646.68/585,992.90 = 150,761.84/x
  3. Step 3: Cross multiply
    390,646.68x = 585,992.90 × 150,761.84
  4. Step 4: Simplify right side
    390,646.68x = 88,345,367,830.94
  5. Step 5: Solve for x
    x = 88,345,367,830.94/390,646.68
  6. Step 6: Final answer
    x = 226,151.59

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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.