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Finding the Fourth Proportional to 308,717.40, 463,335.30 and 140,496.60

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Solution

The fourth proportional to 308,717.40, 463,335.30 and 140,496.60 is: 210,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,717.40 : 463,335.30 = 140,496.60 : x
  2. Step 2: Convert to fraction form
    308,717.40/463,335.30 = 140,496.60/x
  3. Step 3: Cross multiply
    308,717.40x = 463,335.30 × 140,496.60
  4. Step 4: Simplify right side
    308,717.40x = 65,097,034,309.98
  5. Step 5: Solve for x
    x = 65,097,034,309.98/308,717.40
  6. Step 6: Final answer
    x = 210,862.86

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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.