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Finding the Fourth Proportional to 392,007.80, 587,234.10 and 214,254.20

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Solution

The fourth proportional to 392,007.80, 587,234.10 and 214,254.20 is: 320,956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,007.80 : 587,234.10 = 214,254.20 : x
  2. Step 2: Convert to fraction form
    392,007.80/587,234.10 = 214,254.20/x
  3. Step 3: Cross multiply
    392,007.80x = 587,234.10 × 214,254.20
  4. Step 4: Simplify right side
    392,007.80x = 125,817,372,308.22
  5. Step 5: Solve for x
    x = 125,817,372,308.22/392,007.80
  6. Step 6: Final answer
    x = 320,956.30

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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.