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Finding the Fourth Proportional to 395,211, 592,910.84 and 128,972

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Solution

The fourth proportional to 395,211, 592,910.84 and 128,972 is: 193,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,211 : 592,910.84 = 128,972 : x
  2. Step 2: Convert to fraction form
    395,211/592,910.84 = 128,972/x
  3. Step 3: Cross multiply
    395,211x = 592,910.84 × 128,972
  4. Step 4: Simplify right side
    395,211x = 76,468,896,856.48
  5. Step 5: Solve for x
    x = 76,468,896,856.48/395,211
  6. Step 6: Final answer
    x = 193,488.79

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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.