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Finding the Fourth Proportional to 315,018.91, 434,716.59 and 171,781.75

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Solution

The fourth proportional to 315,018.91, 434,716.59 and 171,781.75 is: 237,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,018.91 : 434,716.59 = 171,781.75 : x
  2. Step 2: Convert to fraction form
    315,018.91/434,716.59 = 171,781.75/x
  3. Step 3: Cross multiply
    315,018.91x = 434,716.59 × 171,781.75
  4. Step 4: Simplify right side
    315,018.91x = 74,676,376,584.23
  5. Step 5: Solve for x
    x = 74,676,376,584.23/315,018.91
  6. Step 6: Final answer
    x = 237,053.63

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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.