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Finding the Fourth Proportional to 278,787.42, 418,032.90 and 110,300.94

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Solution

The fourth proportional to 278,787.42, 418,032.90 and 110,300.94 is: 165,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,787.42 : 418,032.90 = 110,300.94 : x
  2. Step 2: Convert to fraction form
    278,787.42/418,032.90 = 110,300.94/x
  3. Step 3: Cross multiply
    278,787.42x = 418,032.90 × 110,300.94
  4. Step 4: Simplify right side
    278,787.42x = 46,109,421,820.93
  5. Step 5: Solve for x
    x = 46,109,421,820.93/278,787.42
  6. Step 6: Final answer
    x = 165,392.76

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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.