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Finding the Fourth Proportional to 242,497.78, 334,647.48 and 140,542.88

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Solution

The fourth proportional to 242,497.78, 334,647.48 and 140,542.88 is: 193,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,497.78 : 334,647.48 = 140,542.88 : x
  2. Step 2: Convert to fraction form
    242,497.78/334,647.48 = 140,542.88/x
  3. Step 3: Cross multiply
    242,497.78x = 334,647.48 × 140,542.88
  4. Step 4: Simplify right side
    242,497.78x = 47,032,320,623.94
  5. Step 5: Solve for x
    x = 47,032,320,623.94/242,497.78
  6. Step 6: Final answer
    x = 193,949.49

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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.