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Finding the Fourth Proportional to 491,810.40, 736,808.40 and 280,821.60

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Solution

The fourth proportional to 491,810.40, 736,808.40 and 280,821.60 is: 420,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,810.40 : 736,808.40 = 280,821.60 : x
  2. Step 2: Convert to fraction form
    491,810.40/736,808.40 = 280,821.60/x
  3. Step 3: Cross multiply
    491,810.40x = 736,808.40 × 280,821.60
  4. Step 4: Simplify right side
    491,810.40x = 206,911,713,781.44
  5. Step 5: Solve for x
    x = 206,911,713,781.44/491,810.40
  6. Step 6: Final answer
    x = 420,714.39

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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.