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Finding the Fourth Proportional to 345,729.48, 477,111.78 and 192,763.14

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Solution

The fourth proportional to 345,729.48, 477,111.78 and 192,763.14 is: 266,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,729.48 : 477,111.78 = 192,763.14 : x
  2. Step 2: Convert to fraction form
    345,729.48/477,111.78 = 192,763.14/x
  3. Step 3: Cross multiply
    345,729.48x = 477,111.78 × 192,763.14
  4. Step 4: Simplify right side
    345,729.48x = 91,969,564,843.79
  5. Step 5: Solve for x
    x = 91,969,564,843.79/345,729.48
  6. Step 6: Final answer
    x = 266,015.98

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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.