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Finding the Fourth Proportional to 645,842.12, 968,892.78 and 225,005

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Solution

The fourth proportional to 645,842.12, 968,892.78 and 225,005 is: 337,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,842.12 : 968,892.78 = 225,005 : x
  2. Step 2: Convert to fraction form
    645,842.12/968,892.78 = 225,005/x
  3. Step 3: Cross multiply
    645,842.12x = 968,892.78 × 225,005
  4. Step 4: Simplify right side
    645,842.12x = 218,005,719,963.90
  5. Step 5: Solve for x
    x = 218,005,719,963.90/645,842.12
  6. Step 6: Final answer
    x = 337,552.65

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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.