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Finding the Fourth Proportional to 381,648.96, 572,486.40 and 101,194.56

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Solution

The fourth proportional to 381,648.96, 572,486.40 and 101,194.56 is: 151,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,648.96 : 572,486.40 = 101,194.56 : x
  2. Step 2: Convert to fraction form
    381,648.96/572,486.40 = 101,194.56/x
  3. Step 3: Cross multiply
    381,648.96x = 572,486.40 × 101,194.56
  4. Step 4: Simplify right side
    381,648.96x = 57,932,509,353.98
  5. Step 5: Solve for x
    x = 57,932,509,353.98/381,648.96
  6. Step 6: Final answer
    x = 151,795.28

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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.