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Finding the Fourth Proportional to 619,301.08, 928,728.70 and 214,383.30

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Solution

The fourth proportional to 619,301.08, 928,728.70 and 214,383.30 is: 321,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,301.08 : 928,728.70 = 214,383.30 : x
  2. Step 2: Convert to fraction form
    619,301.08/928,728.70 = 214,383.30/x
  3. Step 3: Cross multiply
    619,301.08x = 928,728.70 × 214,383.30
  4. Step 4: Simplify right side
    619,301.08x = 199,103,923,510.71
  5. Step 5: Solve for x
    x = 199,103,923,510.71/619,301.08
  6. Step 6: Final answer
    x = 321,497.78

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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.