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Finding the Fourth Proportional to 491,091.80, 735,860.10 and 313,280.60

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Solution

The fourth proportional to 491,091.80, 735,860.10 and 313,280.60 is: 469,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,091.80 : 735,860.10 = 313,280.60 : x
  2. Step 2: Convert to fraction form
    491,091.80/735,860.10 = 313,280.60/x
  3. Step 3: Cross multiply
    491,091.80x = 735,860.10 × 313,280.60
  4. Step 4: Simplify right side
    491,091.80x = 230,530,693,644.06
  5. Step 5: Solve for x
    x = 230,530,693,644.06/491,091.80
  6. Step 6: Final answer
    x = 469,424.85

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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.