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Finding the Fourth Proportional to 430,687.92, 645,982.67 and 115,169.43

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Solution

The fourth proportional to 430,687.92, 645,982.67 and 115,169.43 is: 172,740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,687.92 : 645,982.67 = 115,169.43 : x
  2. Step 2: Convert to fraction form
    430,687.92/645,982.67 = 115,169.43/x
  3. Step 3: Cross multiply
    430,687.92x = 645,982.67 × 115,169.43
  4. Step 4: Simplify right side
    430,687.92x = 74,397,455,317.93
  5. Step 5: Solve for x
    x = 74,397,455,317.93/430,687.92
  6. Step 6: Final answer
    x = 172,740.98

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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.