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Finding the Fourth Proportional to 520,233.12, 779,876.80 and 200,180.82

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Solution

The fourth proportional to 520,233.12, 779,876.80 and 200,180.82 is: 300,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,233.12 : 779,876.80 = 200,180.82 : x
  2. Step 2: Convert to fraction form
    520,233.12/779,876.80 = 200,180.82/x
  3. Step 3: Cross multiply
    520,233.12x = 779,876.80 × 200,180.82
  4. Step 4: Simplify right side
    520,233.12x = 156,116,375,078.75
  5. Step 5: Solve for x
    x = 156,116,375,078.75/520,233.12
  6. Step 6: Final answer
    x = 300,089.27

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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.