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Finding the Fourth Proportional to 312,781.02, 431,638.53 and 169,540.41

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Solution

The fourth proportional to 312,781.02, 431,638.53 and 169,540.41 is: 233,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,781.02 : 431,638.53 = 169,540.41 : x
  2. Step 2: Convert to fraction form
    312,781.02/431,638.53 = 169,540.41/x
  3. Step 3: Cross multiply
    312,781.02x = 431,638.53 × 169,540.41
  4. Step 4: Simplify right side
    312,781.02x = 73,180,173,348.00
  5. Step 5: Solve for x
    x = 73,180,173,348.00/312,781.02
  6. Step 6: Final answer
    x = 233,966.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.