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Finding the Fourth Proportional to 255,976.56, 383,838.44 and 78,440.76

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Solution

The fourth proportional to 255,976.56, 383,838.44 and 78,440.76 is: 117,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,976.56 : 383,838.44 = 78,440.76 : x
  2. Step 2: Convert to fraction form
    255,976.56/383,838.44 = 78,440.76/x
  3. Step 3: Cross multiply
    255,976.56x = 383,838.44 × 78,440.76
  4. Step 4: Simplify right side
    255,976.56x = 30,108,578,558.61
  5. Step 5: Solve for x
    x = 30,108,578,558.61/255,976.56
  6. Step 6: Final answer
    x = 117,622.40

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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.