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Finding the Fourth Proportional to 322,031.29, 482,299.48 and 310,821.55

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Solution

The fourth proportional to 322,031.29, 482,299.48 and 310,821.55 is: 465,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,031.29 : 482,299.48 = 310,821.55 : x
  2. Step 2: Convert to fraction form
    322,031.29/482,299.48 = 310,821.55/x
  3. Step 3: Cross multiply
    322,031.29x = 482,299.48 × 310,821.55
  4. Step 4: Simplify right side
    322,031.29x = 149,909,069,954.99
  5. Step 5: Solve for x
    x = 149,909,069,954.99/322,031.29
  6. Step 6: Final answer
    x = 465,510.89

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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.