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Finding the Fourth Proportional to 418,015.96, 626,826.40 and 161,968.48

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Solution

The fourth proportional to 418,015.96, 626,826.40 and 161,968.48 is: 242,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,015.96 : 626,826.40 = 161,968.48 : x
  2. Step 2: Convert to fraction form
    418,015.96/626,826.40 = 161,968.48/x
  3. Step 3: Cross multiply
    418,015.96x = 626,826.40 × 161,968.48
  4. Step 4: Simplify right side
    418,015.96x = 101,526,119,231.87
  5. Step 5: Solve for x
    x = 101,526,119,231.87/418,015.96
  6. Step 6: Final answer
    x = 242,876.18

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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.