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Finding the Fourth Proportional to 427,242.80, 640,808.58 and 111,724.04

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Solution

The fourth proportional to 427,242.80, 640,808.58 and 111,724.04 is: 167,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,242.80 : 640,808.58 = 111,724.04 : x
  2. Step 2: Convert to fraction form
    427,242.80/640,808.58 = 111,724.04/x
  3. Step 3: Cross multiply
    427,242.80x = 640,808.58 × 111,724.04
  4. Step 4: Simplify right side
    427,242.80x = 71,593,723,424.26
  5. Step 5: Solve for x
    x = 71,593,723,424.26/427,242.80
  6. Step 6: Final answer
    x = 167,571.52

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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.