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Finding the Fourth Proportional to 199,019.64, 298,646.10 and 142,799.16

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Solution

The fourth proportional to 199,019.64, 298,646.10 and 142,799.16 is: 214,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,019.64 : 298,646.10 = 142,799.16 : x
  2. Step 2: Convert to fraction form
    199,019.64/298,646.10 = 142,799.16/x
  3. Step 3: Cross multiply
    199,019.64x = 298,646.10 × 142,799.16
  4. Step 4: Simplify right side
    199,019.64x = 42,646,412,217.28
  5. Step 5: Solve for x
    x = 42,646,412,217.28/199,019.64
  6. Step 6: Final answer
    x = 214,282.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.