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Finding the Fourth Proportional to 491,298.35, 735,766.54 and 280,296.59

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Solution

The fourth proportional to 491,298.35, 735,766.54 and 280,296.59 is: 419,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,298.35 : 735,766.54 = 280,296.59 : x
  2. Step 2: Convert to fraction form
    491,298.35/735,766.54 = 280,296.59/x
  3. Step 3: Cross multiply
    491,298.35x = 735,766.54 × 280,296.59
  4. Step 4: Simplify right side
    491,298.35x = 206,232,847,818.52
  5. Step 5: Solve for x
    x = 206,232,847,818.52/491,298.35
  6. Step 6: Final answer
    x = 419,771.10

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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.