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Finding the Fourth Proportional to 645,872.96, 968,814.84 and 225,148.16

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Solution

The fourth proportional to 645,872.96, 968,814.84 and 225,148.16 is: 337,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,872.96 : 968,814.84 = 225,148.16 : x
  2. Step 2: Convert to fraction form
    645,872.96/968,814.84 = 225,148.16/x
  3. Step 3: Cross multiply
    645,872.96x = 968,814.84 × 225,148.16
  4. Step 4: Simplify right side
    645,872.96x = 218,126,878,606.69
  5. Step 5: Solve for x
    x = 218,126,878,606.69/645,872.96
  6. Step 6: Final answer
    x = 337,724.12

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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.