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Finding the Fourth Proportional to 429,394.06, 643,110.06 and 204,912.11

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Solution

The fourth proportional to 429,394.06, 643,110.06 and 204,912.11 is: 306,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,394.06 : 643,110.06 = 204,912.11 : x
  2. Step 2: Convert to fraction form
    429,394.06/643,110.06 = 204,912.11/x
  3. Step 3: Cross multiply
    429,394.06x = 643,110.06 × 204,912.11
  4. Step 4: Simplify right side
    429,394.06x = 131,781,041,733.02
  5. Step 5: Solve for x
    x = 131,781,041,733.02/429,394.06
  6. Step 6: Final answer
    x = 306,900.01

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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.