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Finding the Fourth Proportional to 427,223.10, 640,871.10 and 111,679.50

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Solution

The fourth proportional to 427,223.10, 640,871.10 and 111,679.50 is: 167,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,223.10 : 640,871.10 = 111,679.50 : x
  2. Step 2: Convert to fraction form
    427,223.10/640,871.10 = 111,679.50/x
  3. Step 3: Cross multiply
    427,223.10x = 640,871.10 × 111,679.50
  4. Step 4: Simplify right side
    427,223.10x = 71,572,164,012.45
  5. Step 5: Solve for x
    x = 71,572,164,012.45/427,223.10
  6. Step 6: Final answer
    x = 167,528.78

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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.