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Finding the Fourth Proportional to 290,070.82, 400,291.47 and 161,001.73

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Solution

The fourth proportional to 290,070.82, 400,291.47 and 161,001.73 is: 222,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,070.82 : 400,291.47 = 161,001.73 : x
  2. Step 2: Convert to fraction form
    290,070.82/400,291.47 = 161,001.73/x
  3. Step 3: Cross multiply
    290,070.82x = 400,291.47 × 161,001.73
  4. Step 4: Simplify right side
    290,070.82x = 64,447,617,422.97
  5. Step 5: Solve for x
    x = 64,447,617,422.97/290,070.82
  6. Step 6: Final answer
    x = 222,178.90

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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.