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Finding the Fourth Proportional to 293,787, 405,550.08 and 198,422.87

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Solution

The fourth proportional to 293,787, 405,550.08 and 198,422.87 is: 273,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,787 : 405,550.08 = 198,422.87 : x
  2. Step 2: Convert to fraction form
    293,787/405,550.08 = 198,422.87/x
  3. Step 3: Cross multiply
    293,787x = 405,550.08 × 198,422.87
  4. Step 4: Simplify right side
    293,787x = 80,470,408,774.58
  5. Step 5: Solve for x
    x = 80,470,408,774.58/293,787
  6. Step 6: Final answer
    x = 273,907.32

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1.5x scale

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.