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Finding the Fourth Proportional to 289,228.05, 399,130.34 and 161,908.20

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Solution

The fourth proportional to 289,228.05, 399,130.34 and 161,908.20 is: 223,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,228.05 : 399,130.34 = 161,908.20 : x
  2. Step 2: Convert to fraction form
    289,228.05/399,130.34 = 161,908.20/x
  3. Step 3: Cross multiply
    289,228.05x = 399,130.34 × 161,908.20
  4. Step 4: Simplify right side
    289,228.05x = 64,622,474,105.25
  5. Step 5: Solve for x
    x = 64,622,474,105.25/289,228.05
  6. Step 6: Final answer
    x = 223,430.87

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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.