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Finding the Fourth Proportional to 345,744.40, 477,125.31 and 192,784.43

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Solution

The fourth proportional to 345,744.40, 477,125.31 and 192,784.43 is: 266,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,744.40 : 477,125.31 = 192,784.43 : x
  2. Step 2: Convert to fraction form
    345,744.40/477,125.31 = 192,784.43/x
  3. Step 3: Cross multiply
    345,744.40x = 477,125.31 × 192,784.43
  4. Step 4: Simplify right side
    345,744.40x = 91,982,328,803.33
  5. Step 5: Solve for x
    x = 91,982,328,803.33/345,744.40
  6. Step 6: Final answer
    x = 266,041.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.