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Finding the Fourth Proportional to 255,839.74, 383,778.05 and 78,323.67

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Solution

The fourth proportional to 255,839.74, 383,778.05 and 78,323.67 is: 117,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,839.74 : 383,778.05 = 78,323.67 : x
  2. Step 2: Convert to fraction form
    255,839.74/383,778.05 = 78,323.67/x
  3. Step 3: Cross multiply
    255,839.74x = 383,778.05 × 78,323.67
  4. Step 4: Simplify right side
    255,839.74x = 30,058,904,949.83
  5. Step 5: Solve for x
    x = 30,058,904,949.83/255,839.74
  6. Step 6: Final answer
    x = 117,491.15

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1.5x scale

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.