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Finding the Fourth Proportional to 308,373.68, 462,597.24 and 130,857.20

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Solution

The fourth proportional to 308,373.68, 462,597.24 and 130,857.20 is: 196,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,373.68 : 462,597.24 = 130,857.20 : x
  2. Step 2: Convert to fraction form
    308,373.68/462,597.24 = 130,857.20/x
  3. Step 3: Cross multiply
    308,373.68x = 462,597.24 × 130,857.20
  4. Step 4: Simplify right side
    308,373.68x = 60,534,179,554.13
  5. Step 5: Solve for x
    x = 60,534,179,554.13/308,373.68
  6. Step 6: Final answer
    x = 196,301.38

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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.