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Finding the Fourth Proportional to 413,174.96, 619,769.16 and 128,873

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Solution

The fourth proportional to 413,174.96, 619,769.16 and 128,873 is: 193,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,174.96 : 619,769.16 = 128,873 : x
  2. Step 2: Convert to fraction form
    413,174.96/619,769.16 = 128,873/x
  3. Step 3: Cross multiply
    413,174.96x = 619,769.16 × 128,873
  4. Step 4: Simplify right side
    413,174.96x = 79,871,510,956.68
  5. Step 5: Solve for x
    x = 79,871,510,956.68/413,174.96
  6. Step 6: Final answer
    x = 193,311.60

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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.