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Finding the Fourth Proportional to 290,805.53, 401,147.76 and 169,921.16

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Solution

The fourth proportional to 290,805.53, 401,147.76 and 169,921.16 is: 234,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,805.53 : 401,147.76 = 169,921.16 : x
  2. Step 2: Convert to fraction form
    290,805.53/401,147.76 = 169,921.16/x
  3. Step 3: Cross multiply
    290,805.53x = 401,147.76 × 169,921.16
  4. Step 4: Simplify right side
    290,805.53x = 68,163,490,704.86
  5. Step 5: Solve for x
    x = 68,163,490,704.86/290,805.53
  6. Step 6: Final answer
    x = 234,395.45

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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.