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Finding the Fourth Proportional to 421,092.84, 631,850.40 and 196,471.20

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Solution

The fourth proportional to 421,092.84, 631,850.40 and 196,471.20 is: 294,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,092.84 : 631,850.40 = 196,471.20 : x
  2. Step 2: Convert to fraction form
    421,092.84/631,850.40 = 196,471.20/x
  3. Step 3: Cross multiply
    421,092.84x = 631,850.40 × 196,471.20
  4. Step 4: Simplify right side
    421,092.84x = 124,140,406,308.48
  5. Step 5: Solve for x
    x = 124,140,406,308.48/421,092.84
  6. Step 6: Final answer
    x = 294,805.31

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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.