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Finding the Fourth Proportional to 340,321.86, 469,647.18 and 189,418.86

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Solution

The fourth proportional to 340,321.86, 469,647.18 and 189,418.86 is: 261,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,321.86 : 469,647.18 = 189,418.86 : x
  2. Step 2: Convert to fraction form
    340,321.86/469,647.18 = 189,418.86/x
  3. Step 3: Cross multiply
    340,321.86x = 469,647.18 × 189,418.86
  4. Step 4: Simplify right side
    340,321.86x = 88,960,033,437.81
  5. Step 5: Solve for x
    x = 88,960,033,437.81/340,321.86
  6. Step 6: Final answer
    x = 261,399.70

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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.