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Finding the Fourth Proportional to 275,787.60, 413,584.20 and 98,300.40

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Solution

The fourth proportional to 275,787.60, 413,584.20 and 98,300.40 is: 147,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,787.60 : 413,584.20 = 98,300.40 : x
  2. Step 2: Convert to fraction form
    275,787.60/413,584.20 = 98,300.40/x
  3. Step 3: Cross multiply
    275,787.60x = 413,584.20 × 98,300.40
  4. Step 4: Simplify right side
    275,787.60x = 40,655,492,293.68
  5. Step 5: Solve for x
    x = 40,655,492,293.68/275,787.60
  6. Step 6: Final answer
    x = 147,415.95

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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.