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Finding the Fourth Proportional to 427,793.28, 642,320.74 and 238,623.26

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Solution

The fourth proportional to 427,793.28, 642,320.74 and 238,623.26 is: 358,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,793.28 : 642,320.74 = 238,623.26 : x
  2. Step 2: Convert to fraction form
    427,793.28/642,320.74 = 238,623.26/x
  3. Step 3: Cross multiply
    427,793.28x = 642,320.74 × 238,623.26
  4. Step 4: Simplify right side
    427,793.28x = 153,272,668,944.41
  5. Step 5: Solve for x
    x = 153,272,668,944.41/427,793.28
  6. Step 6: Final answer
    x = 358,286.76

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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.