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Finding the Fourth Proportional to 299,754.81, 413,656.74 and 163,785.78

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Solution

The fourth proportional to 299,754.81, 413,656.74 and 163,785.78 is: 226,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,754.81 : 413,656.74 = 163,785.78 : x
  2. Step 2: Convert to fraction form
    299,754.81/413,656.74 = 163,785.78/x
  3. Step 3: Cross multiply
    299,754.81x = 413,656.74 × 163,785.78
  4. Step 4: Simplify right side
    299,754.81x = 67,751,091,813.16
  5. Step 5: Solve for x
    x = 67,751,091,813.16/299,754.81
  6. Step 6: Final answer
    x = 226,021.70

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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.