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Finding the Fourth Proportional to 299,409.81, 413,087.41 and 213,382.34

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Solution

The fourth proportional to 299,409.81, 413,087.41 and 213,382.34 is: 294,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,409.81 : 413,087.41 = 213,382.34 : x
  2. Step 2: Convert to fraction form
    299,409.81/413,087.41 = 213,382.34/x
  3. Step 3: Cross multiply
    299,409.81x = 413,087.41 × 213,382.34
  4. Step 4: Simplify right side
    299,409.81x = 88,145,558,170.34
  5. Step 5: Solve for x
    x = 88,145,558,170.34/299,409.81
  6. Step 6: Final answer
    x = 294,397.70

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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.