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Finding the Fourth Proportional to 259,651, 358,319.46 and 140,419

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Solution

The fourth proportional to 259,651, 358,319.46 and 140,419 is: 193,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,651 : 358,319.46 = 140,419 : x
  2. Step 2: Convert to fraction form
    259,651/358,319.46 = 140,419/x
  3. Step 3: Cross multiply
    259,651x = 358,319.46 × 140,419
  4. Step 4: Simplify right side
    259,651x = 50,314,860,253.74
  5. Step 5: Solve for x
    x = 50,314,860,253.74/259,651
  6. Step 6: Final answer
    x = 193,778.80

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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.