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Finding the Fourth Proportional to 290,501.21, 400,469.16 and 203,014.69

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Solution

The fourth proportional to 290,501.21, 400,469.16 and 203,014.69 is: 279,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,501.21 : 400,469.16 = 203,014.69 : x
  2. Step 2: Convert to fraction form
    290,501.21/400,469.16 = 203,014.69/x
  3. Step 3: Cross multiply
    290,501.21x = 400,469.16 × 203,014.69
  4. Step 4: Simplify right side
    290,501.21x = 81,301,122,371.96
  5. Step 5: Solve for x
    x = 81,301,122,371.96/290,501.21
  6. Step 6: Final answer
    x = 279,865.00

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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.