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Finding the Fourth Proportional to 308,510.40, 462,546.90 and 140,111.40

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Solution

The fourth proportional to 308,510.40, 462,546.90 and 140,111.40 is: 210,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,510.40 : 462,546.90 = 140,111.40 : x
  2. Step 2: Convert to fraction form
    308,510.40/462,546.90 = 140,111.40/x
  3. Step 3: Cross multiply
    308,510.40x = 462,546.90 × 140,111.40
  4. Step 4: Simplify right side
    308,510.40x = 64,808,093,724.66
  5. Step 5: Solve for x
    x = 64,808,093,724.66/308,510.40
  6. Step 6: Final answer
    x = 210,067.78

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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.