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Finding the Fourth Proportional to 299,494.78, 413,299.62 and 163,528.30

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Solution

The fourth proportional to 299,494.78, 413,299.62 and 163,528.30 is: 225,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,494.78 : 413,299.62 = 163,528.30 : x
  2. Step 2: Convert to fraction form
    299,494.78/413,299.62 = 163,528.30/x
  3. Step 3: Cross multiply
    299,494.78x = 413,299.62 × 163,528.30
  4. Step 4: Simplify right side
    299,494.78x = 67,586,184,249.25
  5. Step 5: Solve for x
    x = 67,586,184,249.25/299,494.78
  6. Step 6: Final answer
    x = 225,667.32

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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.