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Finding the Fourth Proportional to 199,469.79, 299,047.14 and 99,574.92

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Solution

The fourth proportional to 199,469.79, 299,047.14 and 99,574.92 is: 149,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,469.79 : 299,047.14 = 99,574.92 : x
  2. Step 2: Convert to fraction form
    199,469.79/299,047.14 = 99,574.92/x
  3. Step 3: Cross multiply
    199,469.79x = 299,047.14 × 99,574.92
  4. Step 4: Simplify right side
    199,469.79x = 29,777,595,041.73
  5. Step 5: Solve for x
    x = 29,777,595,041.73/199,469.79
  6. Step 6: Final answer
    x = 149,283.73

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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.