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Finding the Fourth Proportional to 330,429, 456,030.90 and 196,293

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Solution

The fourth proportional to 330,429, 456,030.90 and 196,293 is: 270,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,429 : 456,030.90 = 196,293 : x
  2. Step 2: Convert to fraction form
    330,429/456,030.90 = 196,293/x
  3. Step 3: Cross multiply
    330,429x = 456,030.90 × 196,293
  4. Step 4: Simplify right side
    330,429x = 89,515,673,453.70
  5. Step 5: Solve for x
    x = 89,515,673,453.70/330,429
  6. Step 6: Final answer
    x = 270,907.44

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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.