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Finding the Fourth Proportional to 427,242.44, 640,900.02 and 111,698.84

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Solution

The fourth proportional to 427,242.44, 640,900.02 and 111,698.84 is: 167,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,242.44 : 640,900.02 = 111,698.84 : x
  2. Step 2: Convert to fraction form
    427,242.44/640,900.02 = 111,698.84/x
  3. Step 3: Cross multiply
    427,242.44x = 640,900.02 × 111,698.84
  4. Step 4: Simplify right side
    427,242.44x = 71,587,788,789.98
  5. Step 5: Solve for x
    x = 71,587,788,789.98/427,242.44
  6. Step 6: Final answer
    x = 167,557.77

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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.