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Finding the Fourth Proportional to 427,187.76, 640,781.64 and 161,008.02

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Solution

The fourth proportional to 427,187.76, 640,781.64 and 161,008.02 is: 241,512.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,187.76 : 640,781.64 = 161,008.02 : x
  2. Step 2: Convert to fraction form
    427,187.76/640,781.64 = 161,008.02/x
  3. Step 3: Cross multiply
    427,187.76x = 640,781.64 × 161,008.02
  4. Step 4: Simplify right side
    427,187.76x = 103,170,983,108.75
  5. Step 5: Solve for x
    x = 103,170,983,108.75/427,187.76
  6. Step 6: Final answer
    x = 241,512.03

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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.