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Finding the Fourth Proportional to 255,737.39, 383,716.67 and 137,270.34

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Solution

The fourth proportional to 255,737.39, 383,716.67 and 137,270.34 is: 205,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,737.39 : 383,716.67 = 137,270.34 : x
  2. Step 2: Convert to fraction form
    255,737.39/383,716.67 = 137,270.34/x
  3. Step 3: Cross multiply
    255,737.39x = 383,716.67 × 137,270.34
  4. Step 4: Simplify right side
    255,737.39x = 52,672,917,068.22
  5. Step 5: Solve for x
    x = 52,672,917,068.22/255,737.39
  6. Step 6: Final answer
    x = 205,964.87

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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.