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Finding the Fourth Proportional to 381,707.69, 572,581.26 and 97,400.75

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Solution

The fourth proportional to 381,707.69, 572,581.26 and 97,400.75 is: 146,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,707.69 : 572,581.26 = 97,400.75 : x
  2. Step 2: Convert to fraction form
    381,707.69/572,581.26 = 97,400.75/x
  3. Step 3: Cross multiply
    381,707.69x = 572,581.26 × 97,400.75
  4. Step 4: Simplify right side
    381,707.69x = 55,769,841,297.04
  5. Step 5: Solve for x
    x = 55,769,841,297.04/381,707.69
  6. Step 6: Final answer
    x = 146,106.15

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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.