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Finding the Fourth Proportional to 321,810.32, 482,759.32 and 186,937.68

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Solution

The fourth proportional to 321,810.32, 482,759.32 and 186,937.68 is: 280,431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,810.32 : 482,759.32 = 186,937.68 : x
  2. Step 2: Convert to fraction form
    321,810.32/482,759.32 = 186,937.68/x
  3. Step 3: Cross multiply
    321,810.32x = 482,759.32 × 186,937.68
  4. Step 4: Simplify right side
    321,810.32x = 90,245,907,279.18
  5. Step 5: Solve for x
    x = 90,245,907,279.18/321,810.32
  6. Step 6: Final answer
    x = 280,431.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.