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Finding the Fourth Proportional to 567,279.96, 782,831.89 and 309,163.53

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Solution

The fourth proportional to 567,279.96, 782,831.89 and 309,163.53 is: 426,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,279.96 : 782,831.89 = 309,163.53 : x
  2. Step 2: Convert to fraction form
    567,279.96/782,831.89 = 309,163.53/x
  3. Step 3: Cross multiply
    567,279.96x = 782,831.89 × 309,163.53
  4. Step 4: Simplify right side
    567,279.96x = 242,023,070,508.97
  5. Step 5: Solve for x
    x = 242,023,070,508.97/567,279.96
  6. Step 6: Final answer
    x = 426,637.79

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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.