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Finding the Fourth Proportional to 259,308.50, 357,845.74 and 140,076.50

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Solution

The fourth proportional to 259,308.50, 357,845.74 and 140,076.50 is: 193,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,308.50 : 357,845.74 = 140,076.50 : x
  2. Step 2: Convert to fraction form
    259,308.50/357,845.74 = 140,076.50/x
  3. Step 3: Cross multiply
    259,308.50x = 357,845.74 × 140,076.50
  4. Step 4: Simplify right side
    259,308.50x = 50,125,778,799.11
  5. Step 5: Solve for x
    x = 50,125,778,799.11/259,308.50
  6. Step 6: Final answer
    x = 193,305.58

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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.