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Finding the Fourth Proportional to 427,115.06, 640,678.80 and 111,572

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Solution

The fourth proportional to 427,115.06, 640,678.80 and 111,572 is: 167,359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,115.06 : 640,678.80 = 111,572 : x
  2. Step 2: Convert to fraction form
    427,115.06/640,678.80 = 111,572/x
  3. Step 3: Cross multiply
    427,115.06x = 640,678.80 × 111,572
  4. Step 4: Simplify right side
    427,115.06x = 71,481,815,073.60
  5. Step 5: Solve for x
    x = 71,481,815,073.60/427,115.06
  6. Step 6: Final answer
    x = 167,359.62

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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.