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Finding the Fourth Proportional to 290,071.86, 400,277.88 and 161,017.80

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Solution

The fourth proportional to 290,071.86, 400,277.88 and 161,017.80 is: 222,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,071.86 : 400,277.88 = 161,017.80 : x
  2. Step 2: Convert to fraction form
    290,071.86/400,277.88 = 161,017.80/x
  3. Step 3: Cross multiply
    290,071.86x = 400,277.88 × 161,017.80
  4. Step 4: Simplify right side
    290,071.86x = 64,451,863,626.26
  5. Step 5: Solve for x
    x = 64,451,863,626.26/290,071.86
  6. Step 6: Final answer
    x = 222,192.75

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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.