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Finding the Fourth Proportional to 478,753.56, 717,943.49 and 208,964.21

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Solution

The fourth proportional to 478,753.56, 717,943.49 and 208,964.21 is: 313,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,753.56 : 717,943.49 = 208,964.21 : x
  2. Step 2: Convert to fraction form
    478,753.56/717,943.49 = 208,964.21/x
  3. Step 3: Cross multiply
    478,753.56x = 717,943.49 × 208,964.21
  4. Step 4: Simplify right side
    478,753.56x = 150,024,491,372.81
  5. Step 5: Solve for x
    x = 150,024,491,372.81/478,753.56
  6. Step 6: Final answer
    x = 313,364.76

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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.