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Finding the Fourth Proportional to 300,432.12, 414,641.86 and 171,369.96

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Solution

The fourth proportional to 300,432.12, 414,641.86 and 171,369.96 is: 236,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,432.12 : 414,641.86 = 171,369.96 : x
  2. Step 2: Convert to fraction form
    300,432.12/414,641.86 = 171,369.96/x
  3. Step 3: Cross multiply
    300,432.12x = 414,641.86 × 171,369.96
  4. Step 4: Simplify right side
    300,432.12x = 71,057,158,962.53
  5. Step 5: Solve for x
    x = 71,057,158,962.53/300,432.12
  6. Step 6: Final answer
    x = 236,516.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.