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Finding the Fourth Proportional to 429,399.12, 643,117.70 and 204,917.20

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Solution

The fourth proportional to 429,399.12, 643,117.70 and 204,917.20 is: 306,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,399.12 : 643,117.70 = 204,917.20 : x
  2. Step 2: Convert to fraction form
    429,399.12/643,117.70 = 204,917.20/x
  3. Step 3: Cross multiply
    429,399.12x = 643,117.70 × 204,917.20
  4. Step 4: Simplify right side
    429,399.12x = 131,785,878,354.44
  5. Step 5: Solve for x
    x = 131,785,878,354.44/429,399.12
  6. Step 6: Final answer
    x = 306,907.66

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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.