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Finding the Fourth Proportional to 310,101.20, 465,151.80 and 231,369.20

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Solution

The fourth proportional to 310,101.20, 465,151.80 and 231,369.20 is: 347,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,101.20 : 465,151.80 = 231,369.20 : x
  2. Step 2: Convert to fraction form
    310,101.20/465,151.80 = 231,369.20/x
  3. Step 3: Cross multiply
    310,101.20x = 465,151.80 × 231,369.20
  4. Step 4: Simplify right side
    310,101.20x = 107,621,799,844.56
  5. Step 5: Solve for x
    x = 107,621,799,844.56/310,101.20
  6. Step 6: Final answer
    x = 347,053.80

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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.