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Finding the Fourth Proportional to 409,620.33, 565,267.95 and 228,321.45

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Solution

The fourth proportional to 409,620.33, 565,267.95 and 228,321.45 is: 315,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,620.33 : 565,267.95 = 228,321.45 : x
  2. Step 2: Convert to fraction form
    409,620.33/565,267.95 = 228,321.45/x
  3. Step 3: Cross multiply
    409,620.33x = 565,267.95 × 228,321.45
  4. Step 4: Simplify right side
    409,620.33x = 129,062,797,982.53
  5. Step 5: Solve for x
    x = 129,062,797,982.53/409,620.33
  6. Step 6: Final answer
    x = 315,079.08

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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.