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Finding the Fourth Proportional to 427,588.32, 641,192.88 and 227,871.48

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Solution

The fourth proportional to 427,588.32, 641,192.88 and 227,871.48 is: 341,706.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,588.32 : 641,192.88 = 227,871.48 : x
  2. Step 2: Convert to fraction form
    427,588.32/641,192.88 = 227,871.48/x
  3. Step 3: Cross multiply
    427,588.32x = 641,192.88 × 227,871.48
  4. Step 4: Simplify right side
    427,588.32x = 146,109,570,531.06
  5. Step 5: Solve for x
    x = 146,109,570,531.06/427,588.32
  6. Step 6: Final answer
    x = 341,706.18

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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.