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Finding the Fourth Proportional to 259,796, 358,518.48 and 140,564

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Solution

The fourth proportional to 259,796, 358,518.48 and 140,564 is: 193,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,796 : 358,518.48 = 140,564 : x
  2. Step 2: Convert to fraction form
    259,796/358,518.48 = 140,564/x
  3. Step 3: Cross multiply
    259,796x = 358,518.48 × 140,564
  4. Step 4: Simplify right side
    259,796x = 50,394,791,622.72
  5. Step 5: Solve for x
    x = 50,394,791,622.72/259,796
  6. Step 6: Final answer
    x = 193,978.32

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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.