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Finding the Fourth Proportional to 427,262.56, 640,896 and 111,720.16

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Solution

The fourth proportional to 427,262.56, 640,896 and 111,720.16 is: 167,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,262.56 : 640,896 = 111,720.16 : x
  2. Step 2: Convert to fraction form
    427,262.56/640,896 = 111,720.16/x
  3. Step 3: Cross multiply
    427,262.56x = 640,896 × 111,720.16
  4. Step 4: Simplify right side
    427,262.56x = 71,601,003,663.36
  5. Step 5: Solve for x
    x = 71,601,003,663.36/427,262.56
  6. Step 6: Final answer
    x = 167,580.80

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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.