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Finding the Fourth Proportional to 478,115.70, 716,841.45 and 211,731

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Solution

The fourth proportional to 478,115.70, 716,841.45 and 211,731 is: 317,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,115.70 : 716,841.45 = 211,731 : x
  2. Step 2: Convert to fraction form
    478,115.70/716,841.45 = 211,731/x
  3. Step 3: Cross multiply
    478,115.70x = 716,841.45 × 211,731
  4. Step 4: Simplify right side
    478,115.70x = 151,777,557,049.95
  5. Step 5: Solve for x
    x = 151,777,557,049.95/478,115.70
  6. Step 6: Final answer
    x = 317,449.43

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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.