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Finding the Fourth Proportional to 429,485.22, 643,246.76 and 205,003.68

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Solution

The fourth proportional to 429,485.22, 643,246.76 and 205,003.68 is: 307,037.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,485.22 : 643,246.76 = 205,003.68 : x
  2. Step 2: Convert to fraction form
    429,485.22/643,246.76 = 205,003.68/x
  3. Step 3: Cross multiply
    429,485.22x = 643,246.76 × 205,003.68
  4. Step 4: Simplify right side
    429,485.22x = 131,867,955,034.37
  5. Step 5: Solve for x
    x = 131,867,955,034.37/429,485.22
  6. Step 6: Final answer
    x = 307,037.23

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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.