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Finding the Fourth Proportional to 297,938.66, 446,309.63 and 137,790.12

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Solution

The fourth proportional to 297,938.66, 446,309.63 and 137,790.12 is: 206,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,938.66 : 446,309.63 = 137,790.12 : x
  2. Step 2: Convert to fraction form
    297,938.66/446,309.63 = 137,790.12/x
  3. Step 3: Cross multiply
    297,938.66x = 446,309.63 × 137,790.12
  4. Step 4: Simplify right side
    297,938.66x = 61,497,057,474.86
  5. Step 5: Solve for x
    x = 61,497,057,474.86/297,938.66
  6. Step 6: Final answer
    x = 206,408.45

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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.