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Finding the Fourth Proportional to 427,797.96, 642,327.72 and 238,627.92

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Solution

The fourth proportional to 427,797.96, 642,327.72 and 238,627.92 is: 358,293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,797.96 : 642,327.72 = 238,627.92 : x
  2. Step 2: Convert to fraction form
    427,797.96/642,327.72 = 238,627.92/x
  3. Step 3: Cross multiply
    427,797.96x = 642,327.72 × 238,627.92
  4. Step 4: Simplify right side
    427,797.96x = 153,277,327,781.94
  5. Step 5: Solve for x
    x = 153,277,327,781.94/427,797.96
  6. Step 6: Final answer
    x = 358,293.73

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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.