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Finding the Fourth Proportional to 202,419.15, 277,312.97 and 194,849.40

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Solution

The fourth proportional to 202,419.15, 277,312.97 and 194,849.40 is: 266,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,419.15 : 277,312.97 = 194,849.40 : x
  2. Step 2: Convert to fraction form
    202,419.15/277,312.97 = 194,849.40/x
  3. Step 3: Cross multiply
    202,419.15x = 277,312.97 × 194,849.40
  4. Step 4: Simplify right side
    202,419.15x = 54,034,264,687.85
  5. Step 5: Solve for x
    x = 54,034,264,687.85/202,419.15
  6. Step 6: Final answer
    x = 266,942.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.