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Finding the Fourth Proportional to 431,446.69, 647,189.48 and 165,138.13

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Solution

The fourth proportional to 431,446.69, 647,189.48 and 165,138.13 is: 247,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,446.69 : 647,189.48 = 165,138.13 : x
  2. Step 2: Convert to fraction form
    431,446.69/647,189.48 = 165,138.13/x
  3. Step 3: Cross multiply
    431,446.69x = 647,189.48 × 165,138.13
  4. Step 4: Simplify right side
    431,446.69x = 106,875,660,482.87
  5. Step 5: Solve for x
    x = 106,875,660,482.87/431,446.69
  6. Step 6: Final answer
    x = 247,714.64

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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.