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Finding the Fourth Proportional to 309,436.68, 464,161.50 and 99,074

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Solution

The fourth proportional to 309,436.68, 464,161.50 and 99,074 is: 148,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,436.68 : 464,161.50 = 99,074 : x
  2. Step 2: Convert to fraction form
    309,436.68/464,161.50 = 99,074/x
  3. Step 3: Cross multiply
    309,436.68x = 464,161.50 × 99,074
  4. Step 4: Simplify right side
    309,436.68x = 45,986,336,451
  5. Step 5: Solve for x
    x = 45,986,336,451/309,436.68
  6. Step 6: Final answer
    x = 148,613.07

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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.