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Finding the Fourth Proportional to 288,190.76, 397,787.71 and 167,386.35

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Solution

The fourth proportional to 288,190.76, 397,787.71 and 167,386.35 is: 231,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,190.76 : 397,787.71 = 167,386.35 : x
  2. Step 2: Convert to fraction form
    288,190.76/397,787.71 = 167,386.35/x
  3. Step 3: Cross multiply
    288,190.76x = 397,787.71 × 167,386.35
  4. Step 4: Simplify right side
    288,190.76x = 66,584,232,851.76
  5. Step 5: Solve for x
    x = 66,584,232,851.76/288,190.76
  6. Step 6: Final answer
    x = 231,042.22

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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.