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Finding the Fourth Proportional to 398,590.74, 597,220.38 and 280,049.85

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Solution

The fourth proportional to 398,590.74, 597,220.38 and 280,049.85 is: 419,607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,590.74 : 597,220.38 = 280,049.85 : x
  2. Step 2: Convert to fraction form
    398,590.74/597,220.38 = 280,049.85/x
  3. Step 3: Cross multiply
    398,590.74x = 597,220.38 × 280,049.85
  4. Step 4: Simplify right side
    398,590.74x = 167,251,477,835.94
  5. Step 5: Solve for x
    x = 167,251,477,835.94/398,590.74
  6. Step 6: Final answer
    x = 419,607.03

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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.