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Finding the Fourth Proportional to 381,424.83, 572,137.24 and 297,247.96

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Solution

The fourth proportional to 381,424.83, 572,137.24 and 297,247.96 is: 445,871.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,424.83 : 572,137.24 = 297,247.96 : x
  2. Step 2: Convert to fraction form
    381,424.83/572,137.24 = 297,247.96/x
  3. Step 3: Cross multiply
    381,424.83x = 572,137.24 × 297,247.96
  4. Step 4: Simplify right side
    381,424.83x = 170,066,627,430.03
  5. Step 5: Solve for x
    x = 170,066,627,430.03/381,424.83
  6. Step 6: Final answer
    x = 445,871.94

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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.