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Finding the Fourth Proportional to 290,498.25, 400,862.01 and 161,428.52

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Solution

The fourth proportional to 290,498.25, 400,862.01 and 161,428.52 is: 222,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,498.25 : 400,862.01 = 161,428.52 : x
  2. Step 2: Convert to fraction form
    290,498.25/400,862.01 = 161,428.52/x
  3. Step 3: Cross multiply
    290,498.25x = 400,862.01 × 161,428.52
  4. Step 4: Simplify right side
    290,498.25x = 64,710,558,994.22
  5. Step 5: Solve for x
    x = 64,710,558,994.22/290,498.25
  6. Step 6: Final answer
    x = 222,757.14

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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.