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Finding the Fourth Proportional to 290,069.83, 400,290.15 and 161,000.77

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Solution

The fourth proportional to 290,069.83, 400,290.15 and 161,000.77 is: 222,177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,069.83 : 400,290.15 = 161,000.77 : x
  2. Step 2: Convert to fraction form
    290,069.83/400,290.15 = 161,000.77/x
  3. Step 3: Cross multiply
    290,069.83x = 400,290.15 × 161,000.77
  4. Step 4: Simplify right side
    290,069.83x = 64,447,022,373.42
  5. Step 5: Solve for x
    x = 64,447,022,373.42/290,069.83
  6. Step 6: Final answer
    x = 222,177.61

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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.