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Finding the Fourth Proportional to 312,164.33, 430,787.90 and 168,924.35

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Solution

The fourth proportional to 312,164.33, 430,787.90 and 168,924.35 is: 233,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,164.33 : 430,787.90 = 168,924.35 : x
  2. Step 2: Convert to fraction form
    312,164.33/430,787.90 = 168,924.35/x
  3. Step 3: Cross multiply
    312,164.33x = 430,787.90 × 168,924.35
  4. Step 4: Simplify right side
    312,164.33x = 72,770,567,494.65
  5. Step 5: Solve for x
    x = 72,770,567,494.65/312,164.33
  6. Step 6: Final answer
    x = 233,116.22

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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.