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Finding the Fourth Proportional to 315,843.32, 435,864.92 and 172,603.38

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Solution

The fourth proportional to 315,843.32, 435,864.92 and 172,603.38 is: 238,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,843.32 : 435,864.92 = 172,603.38 : x
  2. Step 2: Convert to fraction form
    315,843.32/435,864.92 = 172,603.38/x
  3. Step 3: Cross multiply
    315,843.32x = 435,864.92 × 172,603.38
  4. Step 4: Simplify right side
    315,843.32x = 75,231,758,415.43
  5. Step 5: Solve for x
    x = 75,231,758,415.43/315,843.32
  6. Step 6: Final answer
    x = 238,193.29

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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.