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Finding the Fourth Proportional to 290,036.04, 400,229.28 and 160,981.08

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Solution

The fourth proportional to 290,036.04, 400,229.28 and 160,981.08 is: 222,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,036.04 : 400,229.28 = 160,981.08 : x
  2. Step 2: Convert to fraction form
    290,036.04/400,229.28 = 160,981.08/x
  3. Step 3: Cross multiply
    290,036.04x = 400,229.28 × 160,981.08
  4. Step 4: Simplify right side
    290,036.04x = 64,429,341,742.02
  5. Step 5: Solve for x
    x = 64,429,341,742.02/290,036.04
  6. Step 6: Final answer
    x = 222,142.54

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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.