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Finding the Fourth Proportional to 290,625.64, 401,099.25 and 163,298.50

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Solution

The fourth proportional to 290,625.64, 401,099.25 and 163,298.50 is: 225,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,625.64 : 401,099.25 = 163,298.50 : x
  2. Step 2: Convert to fraction form
    290,625.64/401,099.25 = 163,298.50/x
  3. Step 3: Cross multiply
    290,625.64x = 401,099.25 × 163,298.50
  4. Step 4: Simplify right side
    290,625.64x = 65,498,905,876.13
  5. Step 5: Solve for x
    x = 65,498,905,876.13/290,625.64
  6. Step 6: Final answer
    x = 225,372.08

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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.