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Finding the Fourth Proportional to 255,829.28, 383,744.82 and 78,335.54

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Solution

The fourth proportional to 255,829.28, 383,744.82 and 78,335.54 is: 117,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,829.28 : 383,744.82 = 78,335.54 : x
  2. Step 2: Convert to fraction form
    255,829.28/383,744.82 = 78,335.54/x
  3. Step 3: Cross multiply
    255,829.28x = 383,744.82 × 78,335.54
  4. Step 4: Simplify right side
    255,829.28x = 30,060,855,778.18
  5. Step 5: Solve for x
    x = 30,060,855,778.18/255,829.28
  6. Step 6: Final answer
    x = 117,503.58

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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.