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Finding the Fourth Proportional to 278,559.71, 418,078.16 and 276,462.92

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Solution

The fourth proportional to 278,559.71, 418,078.16 and 276,462.92 is: 414,931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,559.71 : 418,078.16 = 276,462.92 : x
  2. Step 2: Convert to fraction form
    278,559.71/418,078.16 = 276,462.92/x
  3. Step 3: Cross multiply
    278,559.71x = 418,078.16 × 276,462.92
  4. Step 4: Simplify right side
    278,559.71x = 115,583,106,811.44
  5. Step 5: Solve for x
    x = 115,583,106,811.44/278,559.71
  6. Step 6: Final answer
    x = 414,931.18

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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.