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Finding the Fourth Proportional to 243,000, 335,340 and 142,398

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Solution

The fourth proportional to 243,000, 335,340 and 142,398 is: 196,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,000 : 335,340 = 142,398 : x
  2. Step 2: Convert to fraction form
    243,000/335,340 = 142,398/x
  3. Step 3: Cross multiply
    243,000x = 335,340 × 142,398
  4. Step 4: Simplify right side
    243,000x = 47,751,745,320
  5. Step 5: Solve for x
    x = 47,751,745,320/243,000
  6. Step 6: Final answer
    x = 196,509.24

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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.