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Finding the Fourth Proportional to 491,411.60, 678,035.80 and 276,473.24

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Solution

The fourth proportional to 491,411.60, 678,035.80 and 276,473.24 is: 381,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,411.60 : 678,035.80 = 276,473.24 : x
  2. Step 2: Convert to fraction form
    491,411.60/678,035.80 = 276,473.24/x
  3. Step 3: Cross multiply
    491,411.60x = 678,035.80 × 276,473.24
  4. Step 4: Simplify right side
    491,411.60x = 187,458,754,461.99
  5. Step 5: Solve for x
    x = 187,458,754,461.99/491,411.60
  6. Step 6: Final answer
    x = 381,469.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.