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Finding the Fourth Proportional to 321,398.48, 443,522.84 and 178,157.28

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Solution

The fourth proportional to 321,398.48, 443,522.84 and 178,157.28 is: 245,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,398.48 : 443,522.84 = 178,157.28 : x
  2. Step 2: Convert to fraction form
    321,398.48/443,522.84 = 178,157.28/x
  3. Step 3: Cross multiply
    321,398.48x = 443,522.84 × 178,157.28
  4. Step 4: Simplify right side
    321,398.48x = 79,016,822,792.28
  5. Step 5: Solve for x
    x = 79,016,822,792.28/321,398.48
  6. Step 6: Final answer
    x = 245,853.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.