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Finding the Fourth Proportional to 290,197.74, 400,492.72 and 161,142.88

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Solution

The fourth proportional to 290,197.74, 400,492.72 and 161,142.88 is: 222,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,197.74 : 400,492.72 = 161,142.88 : x
  2. Step 2: Convert to fraction form
    290,197.74/400,492.72 = 161,142.88/x
  3. Step 3: Cross multiply
    290,197.74x = 400,492.72 × 161,142.88
  4. Step 4: Simplify right side
    290,197.74x = 64,536,550,319.83
  5. Step 5: Solve for x
    x = 64,536,550,319.83/290,197.74
  6. Step 6: Final answer
    x = 222,388.19

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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.