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Finding the Fourth Proportional to 255,838.29, 383,758.34 and 78,344.52

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Solution

The fourth proportional to 255,838.29, 383,758.34 and 78,344.52 is: 117,517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,838.29 : 383,758.34 = 78,344.52 : x
  2. Step 2: Convert to fraction form
    255,838.29/383,758.34 = 78,344.52/x
  3. Step 3: Cross multiply
    255,838.29x = 383,758.34 × 78,344.52
  4. Step 4: Simplify right side
    255,838.29x = 30,065,362,551.57
  5. Step 5: Solve for x
    x = 30,065,362,551.57/255,838.29
  6. Step 6: Final answer
    x = 117,517.06

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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.