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Finding the Fourth Proportional to 431,568.20, 647,109.30 and 165,337.40

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Solution

The fourth proportional to 431,568.20, 647,109.30 and 165,337.40 is: 247,913.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,568.20 : 647,109.30 = 165,337.40 : x
  2. Step 2: Convert to fraction form
    431,568.20/647,109.30 = 165,337.40/x
  3. Step 3: Cross multiply
    431,568.20x = 647,109.30 × 165,337.40
  4. Step 4: Simplify right side
    431,568.20x = 106,991,369,177.82
  5. Step 5: Solve for x
    x = 106,991,369,177.82/431,568.20
  6. Step 6: Final answer
    x = 247,913.00

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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.