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Finding the Fourth Proportional to 491,312.60, 735,787.89 and 280,310.84

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Solution

The fourth proportional to 491,312.60, 735,787.89 and 280,310.84 is: 419,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,312.60 : 735,787.89 = 280,310.84 : x
  2. Step 2: Convert to fraction form
    491,312.60/735,787.89 = 280,310.84/x
  3. Step 3: Cross multiply
    491,312.60x = 735,787.89 × 280,310.84
  4. Step 4: Simplify right side
    491,312.60x = 206,249,321,507.73
  5. Step 5: Solve for x
    x = 206,249,321,507.73/491,312.60
  6. Step 6: Final answer
    x = 419,792.45

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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.