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Finding the Fourth Proportional to 520,523.70, 780,849.81 and 254,082.86

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Solution

The fourth proportional to 520,523.70, 780,849.81 and 254,082.86 is: 381,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,523.70 : 780,849.81 = 254,082.86 : x
  2. Step 2: Convert to fraction form
    520,523.70/780,849.81 = 254,082.86/x
  3. Step 3: Cross multiply
    520,523.70x = 780,849.81 × 254,082.86
  4. Step 4: Simplify right side
    520,523.70x = 198,400,549,051.01
  5. Step 5: Solve for x
    x = 198,400,549,051.01/520,523.70
  6. Step 6: Final answer
    x = 381,155.65

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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.