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Finding the Fourth Proportional to 520,029.20, 780,116.70 and 204,412.70

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Solution

The fourth proportional to 520,029.20, 780,116.70 and 204,412.70 is: 306,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,029.20 : 780,116.70 = 204,412.70 : x
  2. Step 2: Convert to fraction form
    520,029.20/780,116.70 = 204,412.70/x
  3. Step 3: Cross multiply
    520,029.20x = 780,116.70 × 204,412.70
  4. Step 4: Simplify right side
    520,029.20x = 159,465,760,962.09
  5. Step 5: Solve for x
    x = 159,465,760,962.09/520,029.20
  6. Step 6: Final answer
    x = 306,647.71

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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.