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Finding the Fourth Proportional to 288,252, 397,755.36 and 167,378.40

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Solution

The fourth proportional to 288,252, 397,755.36 and 167,378.40 is: 230,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,252 : 397,755.36 = 167,378.40 : x
  2. Step 2: Convert to fraction form
    288,252/397,755.36 = 167,378.40/x
  3. Step 3: Cross multiply
    288,252x = 397,755.36 × 167,378.40
  4. Step 4: Simplify right side
    288,252x = 66,575,655,748.22
  5. Step 5: Solve for x
    x = 66,575,655,748.22/288,252
  6. Step 6: Final answer
    x = 230,963.38

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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.