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Finding the Fourth Proportional to 320,677.98, 481,044.50 and 84,020.68

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Solution

The fourth proportional to 320,677.98, 481,044.50 and 84,020.68 is: 126,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,677.98 : 481,044.50 = 84,020.68 : x
  2. Step 2: Convert to fraction form
    320,677.98/481,044.50 = 84,020.68/x
  3. Step 3: Cross multiply
    320,677.98x = 481,044.50 × 84,020.68
  4. Step 4: Simplify right side
    320,677.98x = 40,417,686,000.26
  5. Step 5: Solve for x
    x = 40,417,686,000.26/320,677.98
  6. Step 6: Final answer
    x = 126,038.23

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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.