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Finding the Fourth Proportional to 381,810.80, 572,543.40 and 171,340.40

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Solution

The fourth proportional to 381,810.80, 572,543.40 and 171,340.40 is: 256,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,810.80 : 572,543.40 = 171,340.40 : x
  2. Step 2: Convert to fraction form
    381,810.80/572,543.40 = 171,340.40/x
  3. Step 3: Cross multiply
    381,810.80x = 572,543.40 × 171,340.40
  4. Step 4: Simplify right side
    381,810.80x = 98,099,815,173.36
  5. Step 5: Solve for x
    x = 98,099,815,173.36/381,810.80
  6. Step 6: Final answer
    x = 256,933.05

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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.