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Finding the Fourth Proportional to 520,023.10, 780,121.05 and 204,490.30

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Solution

The fourth proportional to 520,023.10, 780,121.05 and 204,490.30 is: 306,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,023.10 : 780,121.05 = 204,490.30 : x
  2. Step 2: Convert to fraction form
    520,023.10/780,121.05 = 204,490.30/x
  3. Step 3: Cross multiply
    520,023.10x = 780,121.05 × 204,490.30
  4. Step 4: Simplify right side
    520,023.10x = 159,527,187,550.82
  5. Step 5: Solve for x
    x = 159,527,187,550.82/520,023.10
  6. Step 6: Final answer
    x = 306,769.43

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1.5x scale

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.