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Finding the Fourth Proportional to 427,274.56, 640,914 and 111,732.16

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Solution

The fourth proportional to 427,274.56, 640,914 and 111,732.16 is: 167,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,274.56 : 640,914 = 111,732.16 : x
  2. Step 2: Convert to fraction form
    427,274.56/640,914 = 111,732.16/x
  3. Step 3: Cross multiply
    427,274.56x = 640,914 × 111,732.16
  4. Step 4: Simplify right side
    427,274.56x = 71,610,705,594.24
  5. Step 5: Solve for x
    x = 71,610,705,594.24/427,274.56
  6. Step 6: Final answer
    x = 167,598.80

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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.