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Finding the Fourth Proportional to 290,064.92, 400,283.36 and 160,995.85

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Solution

The fourth proportional to 290,064.92, 400,283.36 and 160,995.85 is: 222,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,064.92 : 400,283.36 = 160,995.85 : x
  2. Step 2: Convert to fraction form
    290,064.92/400,283.36 = 160,995.85/x
  3. Step 3: Cross multiply
    290,064.92x = 400,283.36 × 160,995.85
  4. Step 4: Simplify right side
    290,064.92x = 64,443,956,977.66
  5. Step 5: Solve for x
    x = 64,443,956,977.66/290,064.92
  6. Step 6: Final answer
    x = 222,170.81

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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.