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Finding the Fourth Proportional to 255,722.88, 383,570.41 and 78,229.89

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Solution

The fourth proportional to 255,722.88, 383,570.41 and 78,229.89 is: 117,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,722.88 : 383,570.41 = 78,229.89 : x
  2. Step 2: Convert to fraction form
    255,722.88/383,570.41 = 78,229.89/x
  3. Step 3: Cross multiply
    255,722.88x = 383,570.41 × 78,229.89
  4. Step 4: Simplify right side
    255,722.88x = 30,006,670,981.55
  5. Step 5: Solve for x
    x = 30,006,670,981.55/255,722.88
  6. Step 6: Final answer
    x = 117,340.58

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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.