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Finding the Fourth Proportional to 308,049.60, 462,031.20 and 97,708.80

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Solution

The fourth proportional to 308,049.60, 462,031.20 and 97,708.80 is: 146,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,049.60 : 462,031.20 = 97,708.80 : x
  2. Step 2: Convert to fraction form
    308,049.60/462,031.20 = 97,708.80/x
  3. Step 3: Cross multiply
    308,049.60x = 462,031.20 × 97,708.80
  4. Step 4: Simplify right side
    308,049.60x = 45,144,514,114.56
  5. Step 5: Solve for x
    x = 45,144,514,114.56/308,049.60
  6. Step 6: Final answer
    x = 146,549.50

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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.