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Finding the Fourth Proportional to 308,486.40, 462,902.40 and 130,963.20

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Solution

The fourth proportional to 308,486.40, 462,902.40 and 130,963.20 is: 196,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,486.40 : 462,902.40 = 130,963.20 : x
  2. Step 2: Convert to fraction form
    308,486.40/462,902.40 = 130,963.20/x
  3. Step 3: Cross multiply
    308,486.40x = 462,902.40 × 130,963.20
  4. Step 4: Simplify right side
    308,486.40x = 60,623,179,591.68
  5. Step 5: Solve for x
    x = 60,623,179,591.68/308,486.40
  6. Step 6: Final answer
    x = 196,518.16

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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.