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Finding the Fourth Proportional to 431,652.36, 647,537.64 and 147,266.64

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Solution

The fourth proportional to 431,652.36, 647,537.64 and 147,266.64 is: 220,920.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,652.36 : 647,537.64 = 147,266.64 : x
  2. Step 2: Convert to fraction form
    431,652.36/647,537.64 = 147,266.64/x
  3. Step 3: Cross multiply
    431,652.36x = 647,537.64 × 147,266.64
  4. Step 4: Simplify right side
    431,652.36x = 95,360,692,516.33
  5. Step 5: Solve for x
    x = 95,360,692,516.33/431,652.36
  6. Step 6: Final answer
    x = 220,920.12

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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.