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Finding the Fourth Proportional to 299,646.89, 413,496.90 and 163,678.88

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Solution

The fourth proportional to 299,646.89, 413,496.90 and 163,678.88 is: 225,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,646.89 : 413,496.90 = 163,678.88 : x
  2. Step 2: Convert to fraction form
    299,646.89/413,496.90 = 163,678.88/x
  3. Step 3: Cross multiply
    299,646.89x = 413,496.90 × 163,678.88
  4. Step 4: Simplify right side
    299,646.89x = 67,680,708,183.29
  5. Step 5: Solve for x
    x = 67,680,708,183.29/299,646.89
  6. Step 6: Final answer
    x = 225,868.21

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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.