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Finding the Fourth Proportional to 308,435.96, 462,700.02 and 98,080.76

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Solution

The fourth proportional to 308,435.96, 462,700.02 and 98,080.76 is: 147,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,435.96 : 462,700.02 = 98,080.76 : x
  2. Step 2: Convert to fraction form
    308,435.96/462,700.02 = 98,080.76/x
  3. Step 3: Cross multiply
    308,435.96x = 462,700.02 × 98,080.76
  4. Step 4: Simplify right side
    308,435.96x = 45,381,969,613.62
  5. Step 5: Solve for x
    x = 45,381,969,613.62/308,435.96
  6. Step 6: Final answer
    x = 147,135.79

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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.