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Finding the Fourth Proportional to 431,336.96, 646,696.01 and 164,872.88

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Solution

The fourth proportional to 431,336.96, 646,696.01 and 164,872.88 is: 247,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,336.96 : 646,696.01 = 164,872.88 : x
  2. Step 2: Convert to fraction form
    431,336.96/646,696.01 = 164,872.88/x
  3. Step 3: Cross multiply
    431,336.96x = 646,696.01 × 164,872.88
  4. Step 4: Simplify right side
    431,336.96x = 106,622,630,831.91
  5. Step 5: Solve for x
    x = 106,622,630,831.91/431,336.96
  6. Step 6: Final answer
    x = 247,191.04

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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.