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Finding the Fourth Proportional to 229,144.80, 343,328.40 and 189,487.20

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Solution

The fourth proportional to 229,144.80, 343,328.40 and 189,487.20 is: 283,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,144.80 : 343,328.40 = 189,487.20 : x
  2. Step 2: Convert to fraction form
    229,144.80/343,328.40 = 189,487.20/x
  3. Step 3: Cross multiply
    229,144.80x = 343,328.40 × 189,487.20
  4. Step 4: Simplify right side
    229,144.80x = 65,056,337,196.48
  5. Step 5: Solve for x
    x = 65,056,337,196.48/229,144.80
  6. Step 6: Final answer
    x = 283,909.29

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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.