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Finding the Fourth Proportional to 431,988.80, 647,788.80 and 165,660.80

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Solution

The fourth proportional to 431,988.80, 647,788.80 and 165,660.80 is: 248,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,988.80 : 647,788.80 = 165,660.80 : x
  2. Step 2: Convert to fraction form
    431,988.80/647,788.80 = 165,660.80/x
  3. Step 3: Cross multiply
    431,988.80x = 647,788.80 × 165,660.80
  4. Step 4: Simplify right side
    431,988.80x = 107,313,210,839.04
  5. Step 5: Solve for x
    x = 107,313,210,839.04/431,988.80
  6. Step 6: Final answer
    x = 248,416.65

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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.