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Finding the Fourth Proportional to 217,462.89, 300,233.37 and 144,967.89

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Solution

The fourth proportional to 217,462.89, 300,233.37 and 144,967.89 is: 200,145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,462.89 : 300,233.37 = 144,967.89 : x
  2. Step 2: Convert to fraction form
    217,462.89/300,233.37 = 144,967.89/x
  3. Step 3: Cross multiply
    217,462.89x = 300,233.37 × 144,967.89
  4. Step 4: Simplify right side
    217,462.89x = 43,524,198,156.49
  5. Step 5: Solve for x
    x = 43,524,198,156.49/217,462.89
  6. Step 6: Final answer
    x = 200,145.40

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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.