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Finding the Fourth Proportional to 321,078.48, 481,618.80 and 84,401.28

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Solution

The fourth proportional to 321,078.48, 481,618.80 and 84,401.28 is: 126,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,078.48 : 481,618.80 = 84,401.28 : x
  2. Step 2: Convert to fraction form
    321,078.48/481,618.80 = 84,401.28/x
  3. Step 3: Cross multiply
    321,078.48x = 481,618.80 × 84,401.28
  4. Step 4: Simplify right side
    321,078.48x = 40,649,243,192.06
  5. Step 5: Solve for x
    x = 40,649,243,192.06/321,078.48
  6. Step 6: Final answer
    x = 126,602.20

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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.