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Finding the Fourth Proportional to 315,097.06, 434,833.90 and 171,857.11

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Solution

The fourth proportional to 315,097.06, 434,833.90 and 171,857.11 is: 237,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,097.06 : 434,833.90 = 171,857.11 : x
  2. Step 2: Convert to fraction form
    315,097.06/434,833.90 = 171,857.11/x
  3. Step 3: Cross multiply
    315,097.06x = 434,833.90 × 171,857.11
  4. Step 4: Simplify right side
    315,097.06x = 74,729,297,384.03
  5. Step 5: Solve for x
    x = 74,729,297,384.03/315,097.06
  6. Step 6: Final answer
    x = 237,162.79

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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.