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Finding the Fourth Proportional to 398,590.88, 597,222.02 and 280,050

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Solution

The fourth proportional to 398,590.88, 597,222.02 and 280,050 is: 419,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,590.88 : 597,222.02 = 280,050 : x
  2. Step 2: Convert to fraction form
    398,590.88/597,222.02 = 280,050/x
  3. Step 3: Cross multiply
    398,590.88x = 597,222.02 × 280,050
  4. Step 4: Simplify right side
    398,590.88x = 167,252,026,701
  5. Step 5: Solve for x
    x = 167,252,026,701/398,590.88
  6. Step 6: Final answer
    x = 419,608.26

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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.