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Finding the Fourth Proportional to 431,707.10, 647,253.45 and 165,364.70

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Solution

The fourth proportional to 431,707.10, 647,253.45 and 165,364.70 is: 247,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,707.10 : 647,253.45 = 165,364.70 : x
  2. Step 2: Convert to fraction form
    431,707.10/647,253.45 = 165,364.70/x
  3. Step 3: Cross multiply
    431,707.10x = 647,253.45 × 165,364.70
  4. Step 4: Simplify right side
    431,707.10x = 107,032,872,583.22
  5. Step 5: Solve for x
    x = 107,032,872,583.22/431,707.10
  6. Step 6: Final answer
    x = 247,929.38

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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.