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Finding the Fourth Proportional to 321,703.44, 482,241.38 and 153,178.48

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Solution

The fourth proportional to 321,703.44, 482,241.38 and 153,178.48 is: 229,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,703.44 : 482,241.38 = 153,178.48 : x
  2. Step 2: Convert to fraction form
    321,703.44/482,241.38 = 153,178.48/x
  3. Step 3: Cross multiply
    321,703.44x = 482,241.38 × 153,178.48
  4. Step 4: Simplify right side
    321,703.44x = 73,869,002,280.04
  5. Step 5: Solve for x
    x = 73,869,002,280.04/321,703.44
  6. Step 6: Final answer
    x = 229,618.32

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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.