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Finding the Fourth Proportional to 427,285.68, 640,927.71 and 161,105.91

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Solution

The fourth proportional to 427,285.68, 640,927.71 and 161,105.91 is: 241,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,285.68 : 640,927.71 = 161,105.91 : x
  2. Step 2: Convert to fraction form
    427,285.68/640,927.71 = 161,105.91/x
  3. Step 3: Cross multiply
    427,285.68x = 640,927.71 × 161,105.91
  4. Step 4: Simplify right side
    427,285.68x = 103,257,241,963.77
  5. Step 5: Solve for x
    x = 103,257,241,963.77/427,285.68
  6. Step 6: Final answer
    x = 241,658.56

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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.