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Finding the Fourth Proportional to 491,309.60, 735,783.39 and 280,307.84

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Solution

The fourth proportional to 491,309.60, 735,783.39 and 280,307.84 is: 419,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,309.60 : 735,783.39 = 280,307.84 : x
  2. Step 2: Convert to fraction form
    491,309.60/735,783.39 = 280,307.84/x
  3. Step 3: Cross multiply
    491,309.60x = 735,783.39 × 280,307.84
  4. Step 4: Simplify right side
    491,309.60x = 206,245,849,079.86
  5. Step 5: Solve for x
    x = 206,245,849,079.86/491,309.60
  6. Step 6: Final answer
    x = 419,787.95

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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.