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Finding the Fourth Proportional to 330,199, 455,674.62 and 179,296

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Solution

The fourth proportional to 330,199, 455,674.62 and 179,296 is: 247,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,199 : 455,674.62 = 179,296 : x
  2. Step 2: Convert to fraction form
    330,199/455,674.62 = 179,296/x
  3. Step 3: Cross multiply
    330,199x = 455,674.62 × 179,296
  4. Step 4: Simplify right side
    330,199x = 81,700,636,667.52
  5. Step 5: Solve for x
    x = 81,700,636,667.52/330,199
  6. Step 6: Final answer
    x = 247,428.48

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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.