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Finding the Fourth Proportional to 381,805.28, 572,707.42 and 97,495.69

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Solution

The fourth proportional to 381,805.28, 572,707.42 and 97,495.69 is: 146,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,805.28 : 572,707.42 = 97,495.69 : x
  2. Step 2: Convert to fraction form
    381,805.28/572,707.42 = 97,495.69/x
  3. Step 3: Cross multiply
    381,805.28x = 572,707.42 × 97,495.69
  4. Step 4: Simplify right side
    381,805.28x = 55,836,503,144.96
  5. Step 5: Solve for x
    x = 55,836,503,144.96/381,805.28
  6. Step 6: Final answer
    x = 146,243.40

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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.