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Finding the Fourth Proportional to 409,021.98, 564,448.92 and 227,729.22

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Solution

The fourth proportional to 409,021.98, 564,448.92 and 227,729.22 is: 314,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,021.98 : 564,448.92 = 227,729.22 : x
  2. Step 2: Convert to fraction form
    409,021.98/564,448.92 = 227,729.22/x
  3. Step 3: Cross multiply
    409,021.98x = 564,448.92 × 227,729.22
  4. Step 4: Simplify right side
    409,021.98x = 128,541,512,281.44
  5. Step 5: Solve for x
    x = 128,541,512,281.44/409,021.98
  6. Step 6: Final answer
    x = 314,265.54

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1.5x scale

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.