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Finding the Fourth Proportional to 282,071.02, 420,174.83 and 266,791.78

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Solution

The fourth proportional to 282,071.02, 420,174.83 and 266,791.78 is: 397,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,071.02 : 420,174.83 = 266,791.78 : x
  2. Step 2: Convert to fraction form
    282,071.02/420,174.83 = 266,791.78/x
  3. Step 3: Cross multiply
    282,071.02x = 420,174.83 × 266,791.78
  4. Step 4: Simplify right side
    282,071.02x = 112,099,190,806.90
  5. Step 5: Solve for x
    x = 112,099,190,806.90/282,071.02
  6. Step 6: Final answer
    x = 397,414.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.