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Finding the Fourth Proportional to 278,438.40, 417,787.20 and 145,468.80

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Solution

The fourth proportional to 278,438.40, 417,787.20 and 145,468.80 is: 218,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,438.40 : 417,787.20 = 145,468.80 : x
  2. Step 2: Convert to fraction form
    278,438.40/417,787.20 = 145,468.80/x
  3. Step 3: Cross multiply
    278,438.40x = 417,787.20 × 145,468.80
  4. Step 4: Simplify right side
    278,438.40x = 60,775,002,639.36
  5. Step 5: Solve for x
    x = 60,775,002,639.36/278,438.40
  6. Step 6: Final answer
    x = 218,270.91

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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.