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Finding the Fourth Proportional to 257,022.66, 354,691.22 and 143,845.41

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Solution

The fourth proportional to 257,022.66, 354,691.22 and 143,845.41 is: 198,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,022.66 : 354,691.22 = 143,845.41 : x
  2. Step 2: Convert to fraction form
    257,022.66/354,691.22 = 143,845.41/x
  3. Step 3: Cross multiply
    257,022.66x = 354,691.22 × 143,845.41
  4. Step 4: Simplify right side
    257,022.66x = 51,020,704,323.91
  5. Step 5: Solve for x
    x = 51,020,704,323.91/257,022.66
  6. Step 6: Final answer
    x = 198,506.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.