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Finding the Fourth Proportional to 427,793.36, 642,320.85 and 238,623.33

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Solution

The fourth proportional to 427,793.36, 642,320.85 and 238,623.33 is: 358,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,793.36 : 642,320.85 = 238,623.33 : x
  2. Step 2: Convert to fraction form
    427,793.36/642,320.85 = 238,623.33/x
  3. Step 3: Cross multiply
    427,793.36x = 642,320.85 × 238,623.33
  4. Step 4: Simplify right side
    427,793.36x = 153,272,740,155.43
  5. Step 5: Solve for x
    x = 153,272,740,155.43/427,793.36
  6. Step 6: Final answer
    x = 358,286.86

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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.