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Finding the Fourth Proportional to 255,788.56, 383,715.60 and 137,297.44

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Solution

The fourth proportional to 255,788.56, 383,715.60 and 137,297.44 is: 205,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,788.56 : 383,715.60 = 137,297.44 : x
  2. Step 2: Convert to fraction form
    255,788.56/383,715.60 = 137,297.44/x
  3. Step 3: Cross multiply
    255,788.56x = 383,715.60 × 137,297.44
  4. Step 4: Simplify right side
    255,788.56x = 52,683,169,568.06
  5. Step 5: Solve for x
    x = 52,683,169,568.06/255,788.56
  6. Step 6: Final answer
    x = 205,963.74

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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.