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Finding the Fourth Proportional to 520,091.20, 780,136.80 and 204,558.40

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Solution

The fourth proportional to 520,091.20, 780,136.80 and 204,558.40 is: 306,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,091.20 : 780,136.80 = 204,558.40 : x
  2. Step 2: Convert to fraction form
    520,091.20/780,136.80 = 204,558.40/x
  3. Step 3: Cross multiply
    520,091.20x = 780,136.80 × 204,558.40
  4. Step 4: Simplify right side
    520,091.20x = 159,583,535,589.12
  5. Step 5: Solve for x
    x = 159,583,535,589.12/520,091.20
  6. Step 6: Final answer
    x = 306,837.60

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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.