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Finding the Fourth Proportional to 215,829.40, 323,744.10 and 202,005.40

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Solution

The fourth proportional to 215,829.40, 323,744.10 and 202,005.40 is: 303,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,829.40 : 323,744.10 = 202,005.40 : x
  2. Step 2: Convert to fraction form
    215,829.40/323,744.10 = 202,005.40/x
  3. Step 3: Cross multiply
    215,829.40x = 323,744.10 × 202,005.40
  4. Step 4: Simplify right side
    215,829.40x = 65,398,056,418.14
  5. Step 5: Solve for x
    x = 65,398,056,418.14/215,829.40
  6. Step 6: Final answer
    x = 303,008.10

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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.