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Finding the Fourth Proportional to 278,908.32, 418,362.48 and 112,812.96

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Solution

The fourth proportional to 278,908.32, 418,362.48 and 112,812.96 is: 169,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,908.32 : 418,362.48 = 112,812.96 : x
  2. Step 2: Convert to fraction form
    278,908.32/418,362.48 = 112,812.96/x
  3. Step 3: Cross multiply
    278,908.32x = 418,362.48 × 112,812.96
  4. Step 4: Simplify right side
    278,908.32x = 47,196,709,721.74
  5. Step 5: Solve for x
    x = 47,196,709,721.74/278,908.32
  6. Step 6: Final answer
    x = 169,219.44

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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.