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Finding the Fourth Proportional to 200,323.40, 299,901.90 and 194,491.40

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Solution

The fourth proportional to 200,323.40, 299,901.90 and 194,491.40 is: 291,170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,323.40 : 299,901.90 = 194,491.40 : x
  2. Step 2: Convert to fraction form
    200,323.40/299,901.90 = 194,491.40/x
  3. Step 3: Cross multiply
    200,323.40x = 299,901.90 × 194,491.40
  4. Step 4: Simplify right side
    200,323.40x = 58,328,340,393.66
  5. Step 5: Solve for x
    x = 58,328,340,393.66/200,323.40
  6. Step 6: Final answer
    x = 291,170.88

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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.