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Finding the Fourth Proportional to 645,874.96, 968,817.84 and 225,150.16

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Solution

The fourth proportional to 645,874.96, 968,817.84 and 225,150.16 is: 337,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,874.96 : 968,817.84 = 225,150.16 : x
  2. Step 2: Convert to fraction form
    645,874.96/968,817.84 = 225,150.16/x
  3. Step 3: Cross multiply
    645,874.96x = 968,817.84 × 225,150.16
  4. Step 4: Simplify right side
    645,874.96x = 218,129,491,686.85
  5. Step 5: Solve for x
    x = 218,129,491,686.85/645,874.96
  6. Step 6: Final answer
    x = 337,727.12

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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.