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Finding the Fourth Proportional to 288,260, 397,766.40 and 167,386.40

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Solution

The fourth proportional to 288,260, 397,766.40 and 167,386.40 is: 230,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,260 : 397,766.40 = 167,386.40 : x
  2. Step 2: Convert to fraction form
    288,260/397,766.40 = 167,386.40/x
  3. Step 3: Cross multiply
    288,260x = 397,766.40 × 167,386.40
  4. Step 4: Simplify right side
    288,260x = 66,580,685,736.96
  5. Step 5: Solve for x
    x = 66,580,685,736.96/288,260
  6. Step 6: Final answer
    x = 230,974.42

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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.