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Finding the Fourth Proportional to 312,954.64, 431,869.80 and 178,810

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Solution

The fourth proportional to 312,954.64, 431,869.80 and 178,810 is: 246,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,954.64 : 431,869.80 = 178,810 : x
  2. Step 2: Convert to fraction form
    312,954.64/431,869.80 = 178,810/x
  3. Step 3: Cross multiply
    312,954.64x = 431,869.80 × 178,810
  4. Step 4: Simplify right side
    312,954.64x = 77,222,638,938
  5. Step 5: Solve for x
    x = 77,222,638,938/312,954.64
  6. Step 6: Final answer
    x = 246,753.46

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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.