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Finding the Fourth Proportional to 382,643.40, 573,940.80 and 129,923.40

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Solution

The fourth proportional to 382,643.40, 573,940.80 and 129,923.40 is: 194,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,643.40 : 573,940.80 = 129,923.40 : x
  2. Step 2: Convert to fraction form
    382,643.40/573,940.80 = 129,923.40/x
  3. Step 3: Cross multiply
    382,643.40x = 573,940.80 × 129,923.40
  4. Step 4: Simplify right side
    382,643.40x = 74,568,340,134.72
  5. Step 5: Solve for x
    x = 74,568,340,134.72/382,643.40
  6. Step 6: Final answer
    x = 194,876.85

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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.