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Finding the Fourth Proportional to 398,001.70, 597,002.55 and 264,448.90

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Solution

The fourth proportional to 398,001.70, 597,002.55 and 264,448.90 is: 396,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,001.70 : 597,002.55 = 264,448.90 : x
  2. Step 2: Convert to fraction form
    398,001.70/597,002.55 = 264,448.90/x
  3. Step 3: Cross multiply
    398,001.70x = 597,002.55 × 264,448.90
  4. Step 4: Simplify right side
    398,001.70x = 157,876,667,644.70
  5. Step 5: Solve for x
    x = 157,876,667,644.70/398,001.70
  6. Step 6: Final answer
    x = 396,673.35

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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.