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Finding the Fourth Proportional to 315,640.08, 435,576.26 and 172,400.64

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Solution

The fourth proportional to 315,640.08, 435,576.26 and 172,400.64 is: 237,909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,640.08 : 435,576.26 = 172,400.64 : x
  2. Step 2: Convert to fraction form
    315,640.08/435,576.26 = 172,400.64/x
  3. Step 3: Cross multiply
    315,640.08x = 435,576.26 × 172,400.64
  4. Step 4: Simplify right side
    315,640.08x = 75,093,625,992.81
  5. Step 5: Solve for x
    x = 75,093,625,992.81/315,640.08
  6. Step 6: Final answer
    x = 237,909.03

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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.