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Finding the Fourth Proportional to 381,708.85, 572,563.28 and 171,756.85

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Solution

The fourth proportional to 381,708.85, 572,563.28 and 171,756.85 is: 257,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,708.85 : 572,563.28 = 171,756.85 : x
  2. Step 2: Convert to fraction form
    381,708.85/572,563.28 = 171,756.85/x
  3. Step 3: Cross multiply
    381,708.85x = 572,563.28 × 171,756.85
  4. Step 4: Simplify right side
    381,708.85x = 98,341,664,539.68
  5. Step 5: Solve for x
    x = 98,341,664,539.68/381,708.85
  6. Step 6: Final answer
    x = 257,635.28

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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.