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Finding the Fourth Proportional to 324,009.28, 486,031.20 and 102,376

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Solution

The fourth proportional to 324,009.28, 486,031.20 and 102,376 is: 153,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,009.28 : 486,031.20 = 102,376 : x
  2. Step 2: Convert to fraction form
    324,009.28/486,031.20 = 102,376/x
  3. Step 3: Cross multiply
    324,009.28x = 486,031.20 × 102,376
  4. Step 4: Simplify right side
    324,009.28x = 49,757,930,131.20
  5. Step 5: Solve for x
    x = 49,757,930,131.20/324,009.28
  6. Step 6: Final answer
    x = 153,569.46

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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.