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Finding the Fourth Proportional to 199,628.10, 299,442.15 and 164,198.70

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Solution

The fourth proportional to 199,628.10, 299,442.15 and 164,198.70 is: 246,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,628.10 : 299,442.15 = 164,198.70 : x
  2. Step 2: Convert to fraction form
    199,628.10/299,442.15 = 164,198.70/x
  3. Step 3: Cross multiply
    199,628.10x = 299,442.15 × 164,198.70
  4. Step 4: Simplify right side
    199,628.10x = 49,168,011,755.21
  5. Step 5: Solve for x
    x = 49,168,011,755.21/199,628.10
  6. Step 6: Final answer
    x = 246,298.05

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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.