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Finding the Fourth Proportional to 290,089.57, 400,317.27 and 161,020.46

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Solution

The fourth proportional to 290,089.57, 400,317.27 and 161,020.46 is: 222,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,089.57 : 400,317.27 = 161,020.46 : x
  2. Step 2: Convert to fraction form
    290,089.57/400,317.27 = 161,020.46/x
  3. Step 3: Cross multiply
    290,089.57x = 400,317.27 × 161,020.46
  4. Step 4: Simplify right side
    290,089.57x = 64,459,270,961.34
  5. Step 5: Solve for x
    x = 64,459,270,961.34/290,089.57
  6. Step 6: Final answer
    x = 222,204.72

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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.