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Finding the Fourth Proportional to 320,659.76, 481,005.14 and 84,002.67

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Solution

The fourth proportional to 320,659.76, 481,005.14 and 84,002.67 is: 126,008.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,659.76 : 481,005.14 = 84,002.67 : x
  2. Step 2: Convert to fraction form
    320,659.76/481,005.14 = 84,002.67/x
  3. Step 3: Cross multiply
    320,659.76x = 481,005.14 × 84,002.67
  4. Step 4: Simplify right side
    320,659.76x = 40,405,715,623.71
  5. Step 5: Solve for x
    x = 40,405,715,623.71/320,659.76
  6. Step 6: Final answer
    x = 126,008.06

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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.