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Finding the Fourth Proportional to 520,081.20, 780,121.80 and 204,548.40

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Solution

The fourth proportional to 520,081.20, 780,121.80 and 204,548.40 is: 306,822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,081.20 : 780,121.80 = 204,548.40 : x
  2. Step 2: Convert to fraction form
    520,081.20/780,121.80 = 204,548.40/x
  3. Step 3: Cross multiply
    520,081.20x = 780,121.80 × 204,548.40
  4. Step 4: Simplify right side
    520,081.20x = 159,572,665,995.12
  5. Step 5: Solve for x
    x = 159,572,665,995.12/520,081.20
  6. Step 6: Final answer
    x = 306,822.60

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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.