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Finding the Fourth Proportional to 431,146.22, 646,689.25 and 161,223.03

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Solution

The fourth proportional to 431,146.22, 646,689.25 and 161,223.03 is: 241,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,146.22 : 646,689.25 = 161,223.03 : x
  2. Step 2: Convert to fraction form
    431,146.22/646,689.25 = 161,223.03/x
  3. Step 3: Cross multiply
    431,146.22x = 646,689.25 × 161,223.03
  4. Step 4: Simplify right side
    431,146.22x = 104,261,200,554.96
  5. Step 5: Solve for x
    x = 104,261,200,554.96/431,146.22
  6. Step 6: Final answer
    x = 241,823.30

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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.