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Finding the Fourth Proportional to 491,416.10, 678,042 and 276,477.74

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Solution

The fourth proportional to 491,416.10, 678,042 and 276,477.74 is: 381,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,416.10 : 678,042 = 276,477.74 : x
  2. Step 2: Convert to fraction form
    491,416.10/678,042 = 276,477.74/x
  3. Step 3: Cross multiply
    491,416.10x = 678,042 × 276,477.74
  4. Step 4: Simplify right side
    491,416.10x = 187,463,516,394.87
  5. Step 5: Solve for x
    x = 187,463,516,394.87/491,416.10
  6. Step 6: Final answer
    x = 381,476.14

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1.5x scale

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.