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Finding the Fourth Proportional to 385,200.30, 577,800.45 and 259,229.10

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Solution

The fourth proportional to 385,200.30, 577,800.45 and 259,229.10 is: 388,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,200.30 : 577,800.45 = 259,229.10 : x
  2. Step 2: Convert to fraction form
    385,200.30/577,800.45 = 259,229.10/x
  3. Step 3: Cross multiply
    385,200.30x = 577,800.45 × 259,229.10
  4. Step 4: Simplify right side
    385,200.30x = 149,782,690,633.10
  5. Step 5: Solve for x
    x = 149,782,690,633.10/385,200.30
  6. Step 6: Final answer
    x = 388,843.65

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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.