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Finding the Fourth Proportional to 299,753.32, 413,646.78 and 163,785.12

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Solution

The fourth proportional to 299,753.32, 413,646.78 and 163,785.12 is: 226,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,753.32 : 413,646.78 = 163,785.12 : x
  2. Step 2: Convert to fraction form
    299,753.32/413,646.78 = 163,785.12/x
  3. Step 3: Cross multiply
    299,753.32x = 413,646.78 × 163,785.12
  4. Step 4: Simplify right side
    299,753.32x = 67,749,187,499.91
  5. Step 5: Solve for x
    x = 67,749,187,499.91/299,753.32
  6. Step 6: Final answer
    x = 226,016.47

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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.