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Finding the Fourth Proportional to 217,001.70, 299,329.83 and 143,414.01

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Solution

The fourth proportional to 217,001.70, 299,329.83 and 143,414.01 is: 197,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,001.70 : 299,329.83 = 143,414.01 : x
  2. Step 2: Convert to fraction form
    217,001.70/299,329.83 = 143,414.01/x
  3. Step 3: Cross multiply
    217,001.70x = 299,329.83 × 143,414.01
  4. Step 4: Simplify right side
    217,001.70x = 42,928,091,232.92
  5. Step 5: Solve for x
    x = 42,928,091,232.92/217,001.70
  6. Step 6: Final answer
    x = 197,823.76

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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.