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Finding the Fourth Proportional to 315,872.54, 435,904.14 and 172,632.54

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Solution

The fourth proportional to 315,872.54, 435,904.14 and 172,632.54 is: 238,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,872.54 : 435,904.14 = 172,632.54 : x
  2. Step 2: Convert to fraction form
    315,872.54/435,904.14 = 172,632.54/x
  3. Step 3: Cross multiply
    315,872.54x = 435,904.14 × 172,632.54
  4. Step 4: Simplify right side
    315,872.54x = 75,251,238,884.72
  5. Step 5: Solve for x
    x = 75,251,238,884.72/315,872.54
  6. Step 6: Final answer
    x = 238,232.93

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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.