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Finding the Fourth Proportional to 567,337.60, 782,930.64 and 312,689.44

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Solution

The fourth proportional to 567,337.60, 782,930.64 and 312,689.44 is: 431,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,337.60 : 782,930.64 = 312,689.44 : x
  2. Step 2: Convert to fraction form
    567,337.60/782,930.64 = 312,689.44/x
  3. Step 3: Cross multiply
    567,337.60x = 782,930.64 × 312,689.44
  4. Step 4: Simplify right side
    567,337.60x = 244,814,143,380.44
  5. Step 5: Solve for x
    x = 244,814,143,380.44/567,337.60
  6. Step 6: Final answer
    x = 431,514.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.