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Finding the Fourth Proportional to 297,700.80, 446,600.40 and 137,936.40

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Solution

The fourth proportional to 297,700.80, 446,600.40 and 137,936.40 is: 206,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,700.80 : 446,600.40 = 137,936.40 : x
  2. Step 2: Convert to fraction form
    297,700.80/446,600.40 = 137,936.40/x
  3. Step 3: Cross multiply
    297,700.80x = 446,600.40 × 137,936.40
  4. Step 4: Simplify right side
    297,700.80x = 61,602,451,414.56
  5. Step 5: Solve for x
    x = 61,602,451,414.56/297,700.80
  6. Step 6: Final answer
    x = 206,927.40

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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.