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Finding the Fourth Proportional to 257,377.40, 385,934.45 and 107,576.81

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Solution

The fourth proportional to 257,377.40, 385,934.45 and 107,576.81 is: 161,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,377.40 : 385,934.45 = 107,576.81 : x
  2. Step 2: Convert to fraction form
    257,377.40/385,934.45 = 107,576.81/x
  3. Step 3: Cross multiply
    257,377.40x = 385,934.45 × 107,576.81
  4. Step 4: Simplify right side
    257,377.40x = 41,517,594,532.55
  5. Step 5: Solve for x
    x = 41,517,594,532.55/257,377.40
  6. Step 6: Final answer
    x = 161,310.18

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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.