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Finding the Fourth Proportional to 418,016.96, 626,827.90 and 161,969.48

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Solution

The fourth proportional to 418,016.96, 626,827.90 and 161,969.48 is: 242,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,016.96 : 626,827.90 = 161,969.48 : x
  2. Step 2: Convert to fraction form
    418,016.96/626,827.90 = 161,969.48/x
  3. Step 3: Cross multiply
    418,016.96x = 626,827.90 × 161,969.48
  4. Step 4: Simplify right side
    418,016.96x = 101,526,989,012.49
  5. Step 5: Solve for x
    x = 101,526,989,012.49/418,016.96
  6. Step 6: Final answer
    x = 242,877.68

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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.