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Finding the Fourth Proportional to 515,446.92, 711,352.26 and 289,107

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Solution

The fourth proportional to 515,446.92, 711,352.26 and 289,107 is: 398,987.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,446.92 : 711,352.26 = 289,107 : x
  2. Step 2: Convert to fraction form
    515,446.92/711,352.26 = 289,107/x
  3. Step 3: Cross multiply
    515,446.92x = 711,352.26 × 289,107
  4. Step 4: Simplify right side
    515,446.92x = 205,656,917,831.82
  5. Step 5: Solve for x
    x = 205,656,917,831.82/515,446.92
  6. Step 6: Final answer
    x = 398,987.58

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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.