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Finding the Fourth Proportional to 324,918.92, 487,199.95 and 100,217

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Solution

The fourth proportional to 324,918.92, 487,199.95 and 100,217 is: 150,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,918.92 : 487,199.95 = 100,217 : x
  2. Step 2: Convert to fraction form
    324,918.92/487,199.95 = 100,217/x
  3. Step 3: Cross multiply
    324,918.92x = 487,199.95 × 100,217
  4. Step 4: Simplify right side
    324,918.92x = 48,825,717,389.15
  5. Step 5: Solve for x
    x = 48,825,717,389.15/324,918.92
  6. Step 6: Final answer
    x = 150,270.47

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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.