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Finding the Fourth Proportional to 290,486.16, 400,862.17 and 161,424.20

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Solution

The fourth proportional to 290,486.16, 400,862.17 and 161,424.20 is: 222,760.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,486.16 : 400,862.17 = 161,424.20 : x
  2. Step 2: Convert to fraction form
    290,486.16/400,862.17 = 161,424.20/x
  3. Step 3: Cross multiply
    290,486.16x = 400,862.17 × 161,424.20
  4. Step 4: Simplify right side
    290,486.16x = 64,708,855,102.51
  5. Step 5: Solve for x
    x = 64,708,855,102.51/290,486.16
  6. Step 6: Final answer
    x = 222,760.54

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1.5x scale

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.