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Finding the Fourth Proportional to 330,078.78, 455,519.57 and 186,835.75

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Solution

The fourth proportional to 330,078.78, 455,519.57 and 186,835.75 is: 257,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,078.78 : 455,519.57 = 186,835.75 : x
  2. Step 2: Convert to fraction form
    330,078.78/455,519.57 = 186,835.75/x
  3. Step 3: Cross multiply
    330,078.78x = 455,519.57 × 186,835.75
  4. Step 4: Simplify right side
    330,078.78x = 85,107,338,427.65
  5. Step 5: Solve for x
    x = 85,107,338,427.65/330,078.78
  6. Step 6: Final answer
    x = 257,839.47

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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.