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Finding the Fourth Proportional to 255,834.74, 383,752.31 and 78,318.78

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Solution

The fourth proportional to 255,834.74, 383,752.31 and 78,318.78 is: 117,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,834.74 : 383,752.31 = 78,318.78 : x
  2. Step 2: Convert to fraction form
    255,834.74/383,752.31 = 78,318.78/x
  3. Step 3: Cross multiply
    255,834.74x = 383,752.31 × 78,318.78
  4. Step 4: Simplify right side
    255,834.74x = 30,055,012,349.79
  5. Step 5: Solve for x
    x = 30,055,012,349.79/255,834.74
  6. Step 6: Final answer
    x = 117,478.23

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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.