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Finding the Fourth Proportional to 520,054.70, 780,082.05 and 204,521.90

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Solution

The fourth proportional to 520,054.70, 780,082.05 and 204,521.90 is: 306,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,054.70 : 780,082.05 = 204,521.90 : x
  2. Step 2: Convert to fraction form
    520,054.70/780,082.05 = 204,521.90/x
  3. Step 3: Cross multiply
    520,054.70x = 780,082.05 × 204,521.90
  4. Step 4: Simplify right side
    520,054.70x = 159,543,863,021.90
  5. Step 5: Solve for x
    x = 159,543,863,021.90/520,054.70
  6. Step 6: Final answer
    x = 306,782.85

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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.