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Finding the Fourth Proportional to 491,659.20, 736,970.40 and 280,843.20

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Solution

The fourth proportional to 491,659.20, 736,970.40 and 280,843.20 is: 420,968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,659.20 : 736,970.40 = 280,843.20 : x
  2. Step 2: Convert to fraction form
    491,659.20/736,970.40 = 280,843.20/x
  3. Step 3: Cross multiply
    491,659.20x = 736,970.40 × 280,843.20
  4. Step 4: Simplify right side
    491,659.20x = 206,973,125,441.28
  5. Step 5: Solve for x
    x = 206,973,125,441.28/491,659.20
  6. Step 6: Final answer
    x = 420,968.68

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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.