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Finding the Fourth Proportional to 289,049.50, 398,888.31 and 161,749.70

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Solution

The fourth proportional to 289,049.50, 398,888.31 and 161,749.70 is: 223,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,049.50 : 398,888.31 = 161,749.70 : x
  2. Step 2: Convert to fraction form
    289,049.50/398,888.31 = 161,749.70/x
  3. Step 3: Cross multiply
    289,049.50x = 398,888.31 × 161,749.70
  4. Step 4: Simplify right side
    289,049.50x = 64,520,064,476.01
  5. Step 5: Solve for x
    x = 64,520,064,476.01/289,049.50
  6. Step 6: Final answer
    x = 223,214.59

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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.