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Finding the Fourth Proportional to 381,676.20, 572,514.30 and 310,817.40

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Solution

The fourth proportional to 381,676.20, 572,514.30 and 310,817.40 is: 466,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,676.20 : 572,514.30 = 310,817.40 : x
  2. Step 2: Convert to fraction form
    381,676.20/572,514.30 = 310,817.40/x
  3. Step 3: Cross multiply
    381,676.20x = 572,514.30 × 310,817.40
  4. Step 4: Simplify right side
    381,676.20x = 177,947,406,188.82
  5. Step 5: Solve for x
    x = 177,947,406,188.82/381,676.20
  6. Step 6: Final answer
    x = 466,226.10

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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.