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Finding the Fourth Proportional to 290,036.64, 400,215.60 and 160,974.48

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Solution

The fourth proportional to 290,036.64, 400,215.60 and 160,974.48 is: 222,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,036.64 : 400,215.60 = 160,974.48 : x
  2. Step 2: Convert to fraction form
    290,036.64/400,215.60 = 160,974.48/x
  3. Step 3: Cross multiply
    290,036.64x = 400,215.60 × 160,974.48
  4. Step 4: Simplify right side
    290,036.64x = 64,424,498,097.89
  5. Step 5: Solve for x
    x = 64,424,498,097.89/290,036.64
  6. Step 6: Final answer
    x = 222,125.38

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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.