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Finding the Fourth Proportional to 561,653,998.80, 842,480,998.20 and 255,543,982.80

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Solution

The fourth proportional to 561,653,998.80, 842,480,998.20 and 255,543,982.80 is: 383,315,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,653,998.80 : 842,480,998.20 = 255,543,982.80 : x
  2. Step 2: Convert to fraction form
    561,653,998.80/842,480,998.20 = 255,543,982.80/x
  3. Step 3: Cross multiply
    561,653,998.80x = 842,480,998.20 × 255,543,982.80
  4. Step 4: Simplify right side
    561,653,998.80x = 215,290,949,713,347,648
  5. Step 5: Solve for x
    x = 215,290,949,713,347,648/561,653,998.80
  6. Step 6: Final answer
    x = 383,315,974.20

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Similar ratio
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1.5x scale

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.