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Finding the Fourth Proportional to 199,471.20, 298,957.32 and 99,659.34

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Solution

The fourth proportional to 199,471.20, 298,957.32 and 99,659.34 is: 149,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,471.20 : 298,957.32 = 99,659.34 : x
  2. Step 2: Convert to fraction form
    199,471.20/298,957.32 = 99,659.34/x
  3. Step 3: Cross multiply
    199,471.20x = 298,957.32 × 99,659.34
  4. Step 4: Simplify right side
    199,471.20x = 29,793,889,199.37
  5. Step 5: Solve for x
    x = 29,793,889,199.37/199,471.20
  6. Step 6: Final answer
    x = 149,364.37

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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.