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Finding the Fourth Proportional to 520,080.70, 780,121.05 and 204,547.90

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Solution

The fourth proportional to 520,080.70, 780,121.05 and 204,547.90 is: 306,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,080.70 : 780,121.05 = 204,547.90 : x
  2. Step 2: Convert to fraction form
    520,080.70/780,121.05 = 204,547.90/x
  3. Step 3: Cross multiply
    520,080.70x = 780,121.05 × 204,547.90
  4. Step 4: Simplify right side
    520,080.70x = 159,572,122,523.30
  5. Step 5: Solve for x
    x = 159,572,122,523.30/520,080.70
  6. Step 6: Final answer
    x = 306,821.85

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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.