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Finding the Fourth Proportional to 312,720.44, 431,553.12 and 169,484

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Solution

The fourth proportional to 312,720.44, 431,553.12 and 169,484 is: 233,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,720.44 : 431,553.12 = 169,484 : x
  2. Step 2: Convert to fraction form
    312,720.44/431,553.12 = 169,484/x
  3. Step 3: Cross multiply
    312,720.44x = 431,553.12 × 169,484
  4. Step 4: Simplify right side
    312,720.44x = 73,141,348,990.08
  5. Step 5: Solve for x
    x = 73,141,348,990.08/312,720.44
  6. Step 6: Final answer
    x = 233,887.33

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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.