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Finding the Fourth Proportional to 520,250.50, 780,017.19 and 204,743.62

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Solution

The fourth proportional to 520,250.50, 780,017.19 and 204,743.62 is: 306,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,250.50 : 780,017.19 = 204,743.62 : x
  2. Step 2: Convert to fraction form
    520,250.50/780,017.19 = 204,743.62/x
  3. Step 3: Cross multiply
    520,250.50x = 780,017.19 × 204,743.62
  4. Step 4: Simplify right side
    520,250.50x = 159,703,543,142.83
  5. Step 5: Solve for x
    x = 159,703,543,142.83/520,250.50
  6. Step 6: Final answer
    x = 306,974.32

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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.