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Finding the Fourth Proportional to 420,406.86, 580,174.18 and 239,144.78

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Solution

The fourth proportional to 420,406.86, 580,174.18 and 239,144.78 is: 330,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,406.86 : 580,174.18 = 239,144.78 : x
  2. Step 2: Convert to fraction form
    420,406.86/580,174.18 = 239,144.78/x
  3. Step 3: Cross multiply
    420,406.86x = 580,174.18 × 239,144.78
  4. Step 4: Simplify right side
    420,406.86x = 138,745,626,637.78
  5. Step 5: Solve for x
    x = 138,745,626,637.78/420,406.86
  6. Step 6: Final answer
    x = 330,027.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.