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Finding the Fourth Proportional to 427,206, 640,852.86 and 161,190.38

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Solution

The fourth proportional to 427,206, 640,852.86 and 161,190.38 is: 241,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,206 : 640,852.86 = 161,190.38 : x
  2. Step 2: Convert to fraction form
    427,206/640,852.86 = 161,190.38/x
  3. Step 3: Cross multiply
    427,206x = 640,852.86 × 161,190.38
  4. Step 4: Simplify right side
    427,206x = 103,299,316,027.49
  5. Step 5: Solve for x
    x = 103,299,316,027.49/427,206
  6. Step 6: Final answer
    x = 241,802.12

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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.