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Finding the Fourth Proportional to 429,879.06, 643,977.78 and 354,086.41

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Solution

The fourth proportional to 429,879.06, 643,977.78 and 354,086.41 is: 530,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,879.06 : 643,977.78 = 354,086.41 : x
  2. Step 2: Convert to fraction form
    429,879.06/643,977.78 = 354,086.41/x
  3. Step 3: Cross multiply
    429,879.06x = 643,977.78 × 354,086.41
  4. Step 4: Simplify right side
    429,879.06x = 228,023,780,239.97
  5. Step 5: Solve for x
    x = 228,023,780,239.97/429,879.06
  6. Step 6: Final answer
    x = 530,437.05

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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.