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Finding the Fourth Proportional to 272,839.40, 410,133.90 and 194,496.20

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Solution

The fourth proportional to 272,839.40, 410,133.90 and 194,496.20 is: 292,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,839.40 : 410,133.90 = 194,496.20 : x
  2. Step 2: Convert to fraction form
    272,839.40/410,133.90 = 194,496.20/x
  3. Step 3: Cross multiply
    272,839.40x = 410,133.90 × 194,496.20
  4. Step 4: Simplify right side
    272,839.40x = 79,769,485,041.18
  5. Step 5: Solve for x
    x = 79,769,485,041.18/272,839.40
  6. Step 6: Final answer
    x = 292,367.91

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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.