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Finding the Fourth Proportional to 427,123.13, 640,791.81 and 127,602.54

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Solution

The fourth proportional to 427,123.13, 640,791.81 and 127,602.54 is: 191,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,123.13 : 640,791.81 = 127,602.54 : x
  2. Step 2: Convert to fraction form
    427,123.13/640,791.81 = 127,602.54/x
  3. Step 3: Cross multiply
    427,123.13x = 640,791.81 × 127,602.54
  4. Step 4: Simplify right side
    427,123.13x = 81,766,662,567.20
  5. Step 5: Solve for x
    x = 81,766,662,567.20/427,123.13
  6. Step 6: Final answer
    x = 191,435.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.