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Finding the Fourth Proportional to 291,079.26, 401,688.78 and 163,755

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Solution

The fourth proportional to 291,079.26, 401,688.78 and 163,755 is: 225,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,079.26 : 401,688.78 = 163,755 : x
  2. Step 2: Convert to fraction form
    291,079.26/401,688.78 = 163,755/x
  3. Step 3: Cross multiply
    291,079.26x = 401,688.78 × 163,755
  4. Step 4: Simplify right side
    291,079.26x = 65,778,546,168.90
  5. Step 5: Solve for x
    x = 65,778,546,168.90/291,079.26
  6. Step 6: Final answer
    x = 225,981.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.