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Finding the Fourth Proportional to 290,624.64, 401,097.87 and 163,297.50

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Solution

The fourth proportional to 290,624.64, 401,097.87 and 163,297.50 is: 225,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,624.64 : 401,097.87 = 163,297.50 : x
  2. Step 2: Convert to fraction form
    290,624.64/401,097.87 = 163,297.50/x
  3. Step 3: Cross multiply
    290,624.64x = 401,097.87 × 163,297.50
  4. Step 4: Simplify right side
    290,624.64x = 65,498,279,426.33
  5. Step 5: Solve for x
    x = 65,498,279,426.33/290,624.64
  6. Step 6: Final answer
    x = 225,370.70

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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.