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Finding the Fourth Proportional to 491,446.16, 678,404.89 and 330,394.57

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Solution

The fourth proportional to 491,446.16, 678,404.89 and 330,394.57 is: 456,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,446.16 : 678,404.89 = 330,394.57 : x
  2. Step 2: Convert to fraction form
    491,446.16/678,404.89 = 330,394.57/x
  3. Step 3: Cross multiply
    491,446.16x = 678,404.89 × 330,394.57
  4. Step 4: Simplify right side
    491,446.16x = 224,141,293,471.68
  5. Step 5: Solve for x
    x = 224,141,293,471.68/491,446.16
  6. Step 6: Final answer
    x = 456,085.14

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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.