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Finding the Fourth Proportional to 345,849.78, 477,273.54 and 192,897.87

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Solution

The fourth proportional to 345,849.78, 477,273.54 and 192,897.87 is: 266,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,849.78 : 477,273.54 = 192,897.87 : x
  2. Step 2: Convert to fraction form
    345,849.78/477,273.54 = 192,897.87/x
  3. Step 3: Cross multiply
    345,849.78x = 477,273.54 × 192,897.87
  4. Step 4: Simplify right side
    345,849.78x = 92,065,049,273.36
  5. Step 5: Solve for x
    x = 92,065,049,273.36/345,849.78
  6. Step 6: Final answer
    x = 266,199.53

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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.