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Finding the Fourth Proportional to 259,821, 358,552.98 and 140,589

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Solution

The fourth proportional to 259,821, 358,552.98 and 140,589 is: 194,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,821 : 358,552.98 = 140,589 : x
  2. Step 2: Convert to fraction form
    259,821/358,552.98 = 140,589/x
  3. Step 3: Cross multiply
    259,821x = 358,552.98 × 140,589
  4. Step 4: Simplify right side
    259,821x = 50,408,604,905.22
  5. Step 5: Solve for x
    x = 50,408,604,905.22/259,821
  6. Step 6: Final answer
    x = 194,012.82

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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.