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Finding the Fourth Proportional to 255,789.28, 383,684.28 and 78,297.04

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Solution

The fourth proportional to 255,789.28, 383,684.28 and 78,297.04 is: 117,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,789.28 : 383,684.28 = 78,297.04 : x
  2. Step 2: Convert to fraction form
    255,789.28/383,684.28 = 78,297.04/x
  3. Step 3: Cross multiply
    255,789.28x = 383,684.28 × 78,297.04
  4. Step 4: Simplify right side
    255,789.28x = 30,041,343,418.53
  5. Step 5: Solve for x
    x = 30,041,343,418.53/255,789.28
  6. Step 6: Final answer
    x = 117,445.67

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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.