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Finding the Fourth Proportional to 308,043.60, 461,719.80 and 130,520.40

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Solution

The fourth proportional to 308,043.60, 461,719.80 and 130,520.40 is: 195,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,043.60 : 461,719.80 = 130,520.40 : x
  2. Step 2: Convert to fraction form
    308,043.60/461,719.80 = 130,520.40/x
  3. Step 3: Cross multiply
    308,043.60x = 461,719.80 × 130,520.40
  4. Step 4: Simplify right side
    308,043.60x = 60,263,852,983.92
  5. Step 5: Solve for x
    x = 60,263,852,983.92/308,043.60
  6. Step 6: Final answer
    x = 195,634.17

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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.