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Finding the Fourth Proportional to 431,305.94, 646,958.92 and 165,148.04

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Solution

The fourth proportional to 431,305.94, 646,958.92 and 165,148.04 is: 247,722.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,305.94 : 646,958.92 = 165,148.04 : x
  2. Step 2: Convert to fraction form
    431,305.94/646,958.92 = 165,148.04/x
  3. Step 3: Cross multiply
    431,305.94x = 646,958.92 × 165,148.04
  4. Step 4: Simplify right side
    431,305.94x = 106,843,997,598.52
  5. Step 5: Solve for x
    x = 106,843,997,598.52/431,305.94
  6. Step 6: Final answer
    x = 247,722.06

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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.