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Finding the Fourth Proportional to 431,640.32, 647,452.80 and 165,328.64

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Solution

The fourth proportional to 431,640.32, 647,452.80 and 165,328.64 is: 247,990.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,640.32 : 647,452.80 = 165,328.64 : x
  2. Step 2: Convert to fraction form
    431,640.32/647,452.80 = 165,328.64/x
  3. Step 3: Cross multiply
    431,640.32x = 647,452.80 × 165,328.64
  4. Step 4: Simplify right side
    431,640.32x = 107,042,490,888.19
  5. Step 5: Solve for x
    x = 107,042,490,888.19/431,640.32
  6. Step 6: Final answer
    x = 247,990.02

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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.