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Finding the Fourth Proportional to 320,083.68, 480,102.48 and 140,187.36

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Solution

The fourth proportional to 320,083.68, 480,102.48 and 140,187.36 is: 210,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,083.68 : 480,102.48 = 140,187.36 : x
  2. Step 2: Convert to fraction form
    320,083.68/480,102.48 = 140,187.36/x
  3. Step 3: Cross multiply
    320,083.68x = 480,102.48 × 140,187.36
  4. Step 4: Simplify right side
    320,083.68x = 67,304,299,200.65
  5. Step 5: Solve for x
    x = 67,304,299,200.65/320,083.68
  6. Step 6: Final answer
    x = 210,270.95

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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.