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Finding the Fourth Proportional to 407,644, 610,800.09 and 247,768.84

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Solution

The fourth proportional to 407,644, 610,800.09 and 247,768.84 is: 371,248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,644 : 610,800.09 = 247,768.84 : x
  2. Step 2: Convert to fraction form
    407,644/610,800.09 = 247,768.84/x
  3. Step 3: Cross multiply
    407,644x = 610,800.09 × 247,768.84
  4. Step 4: Simplify right side
    407,644x = 151,337,229,771.20
  5. Step 5: Solve for x
    x = 151,337,229,771.20/407,644
  6. Step 6: Final answer
    x = 371,248.52

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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.