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Finding the Fourth Proportional to 381,713.67, 572,483.03 and 171,411.75

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Solution

The fourth proportional to 381,713.67, 572,483.03 and 171,411.75 is: 257,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,713.67 : 572,483.03 = 171,411.75 : x
  2. Step 2: Convert to fraction form
    381,713.67/572,483.03 = 171,411.75/x
  3. Step 3: Cross multiply
    381,713.67x = 572,483.03 × 171,411.75
  4. Step 4: Simplify right side
    381,713.67x = 98,130,317,160.54
  5. Step 5: Solve for x
    x = 98,130,317,160.54/381,713.67
  6. Step 6: Final answer
    x = 257,078.34

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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.