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Finding the Fourth Proportional to 381,980.74, 572,774.01 and 171,438.52

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Solution

The fourth proportional to 381,980.74, 572,774.01 and 171,438.52 is: 257,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,980.74 : 572,774.01 = 171,438.52 : x
  2. Step 2: Convert to fraction form
    381,980.74/572,774.01 = 171,438.52/x
  3. Step 3: Cross multiply
    381,980.74x = 572,774.01 × 171,438.52
  4. Step 4: Simplify right side
    381,980.74x = 98,195,528,568.87
  5. Step 5: Solve for x
    x = 98,195,528,568.87/381,980.74
  6. Step 6: Final answer
    x = 257,069.32

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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.