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Finding the Fourth Proportional to 308,126.28, 461,894.16 and 130,388.76

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Solution

The fourth proportional to 308,126.28, 461,894.16 and 130,388.76 is: 195,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,126.28 : 461,894.16 = 130,388.76 : x
  2. Step 2: Convert to fraction form
    308,126.28/461,894.16 = 130,388.76/x
  3. Step 3: Cross multiply
    308,126.28x = 461,894.16 × 130,388.76
  4. Step 4: Simplify right side
    308,126.28x = 60,225,806,773.64
  5. Step 5: Solve for x
    x = 60,225,806,773.64/308,126.28
  6. Step 6: Final answer
    x = 195,458.20

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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.