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Finding the Fourth Proportional to 278,707.88, 418,033.34 and 76,321.98

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Solution

The fourth proportional to 278,707.88, 418,033.34 and 76,321.98 is: 114,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,707.88 : 418,033.34 = 76,321.98 : x
  2. Step 2: Convert to fraction form
    278,707.88/418,033.34 = 76,321.98/x
  3. Step 3: Cross multiply
    278,707.88x = 418,033.34 × 76,321.98
  4. Step 4: Simplify right side
    278,707.88x = 31,905,132,214.81
  5. Step 5: Solve for x
    x = 31,905,132,214.81/278,707.88
  6. Step 6: Final answer
    x = 114,475.17

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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.