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Finding the Fourth Proportional to 329,473.84, 494,023.44 and 129,685.90

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Solution

The fourth proportional to 329,473.84, 494,023.44 and 129,685.90 is: 194,455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,473.84 : 494,023.44 = 129,685.90 : x
  2. Step 2: Convert to fraction form
    329,473.84/494,023.44 = 129,685.90/x
  3. Step 3: Cross multiply
    329,473.84x = 494,023.44 × 129,685.90
  4. Step 4: Simplify right side
    329,473.84x = 64,067,874,437.50
  5. Step 5: Solve for x
    x = 64,067,874,437.50/329,473.84
  6. Step 6: Final answer
    x = 194,455.12

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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.