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Finding the Fourth Proportional to 278,809.89, 418,215.18 and 76,407.68

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Solution

The fourth proportional to 278,809.89, 418,215.18 and 76,407.68 is: 114,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,809.89 : 418,215.18 = 76,407.68 : x
  2. Step 2: Convert to fraction form
    278,809.89/418,215.18 = 76,407.68/x
  3. Step 3: Cross multiply
    278,809.89x = 418,215.18 × 76,407.68
  4. Step 4: Simplify right side
    278,809.89x = 31,954,849,553.51
  5. Step 5: Solve for x
    x = 31,954,849,553.51/278,809.89
  6. Step 6: Final answer
    x = 114,611.61

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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.