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Finding the Fourth Proportional to 255,838.48, 383,758.62 and 78,344.71

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Solution

The fourth proportional to 255,838.48, 383,758.62 and 78,344.71 is: 117,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,838.48 : 383,758.62 = 78,344.71 : x
  2. Step 2: Convert to fraction form
    255,838.48/383,758.62 = 78,344.71/x
  3. Step 3: Cross multiply
    255,838.48x = 383,758.62 × 78,344.71
  4. Step 4: Simplify right side
    255,838.48x = 30,065,456,540.71
  5. Step 5: Solve for x
    x = 30,065,456,540.71/255,838.48
  6. Step 6: Final answer
    x = 117,517.34

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1.5x scale

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.