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Finding the Fourth Proportional to 429,649.76, 643,990.26 and 204,826.16

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Solution

The fourth proportional to 429,649.76, 643,990.26 and 204,826.16 is: 307,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,649.76 : 643,990.26 = 204,826.16 : x
  2. Step 2: Convert to fraction form
    429,649.76/643,990.26 = 204,826.16/x
  3. Step 3: Cross multiply
    429,649.76x = 643,990.26 × 204,826.16
  4. Step 4: Simplify right side
    429,649.76x = 131,906,052,033.20
  5. Step 5: Solve for x
    x = 131,906,052,033.20/429,649.76
  6. Step 6: Final answer
    x = 307,008.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.