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Finding the Fourth Proportional to 255,499.25, 383,308.74 and 78,006.26

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Solution

The fourth proportional to 255,499.25, 383,308.74 and 78,006.26 is: 117,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,499.25 : 383,308.74 = 78,006.26 : x
  2. Step 2: Convert to fraction form
    255,499.25/383,308.74 = 78,006.26/x
  3. Step 3: Cross multiply
    255,499.25x = 383,308.74 × 78,006.26
  4. Step 4: Simplify right side
    255,499.25x = 29,900,482,190.98
  5. Step 5: Solve for x
    x = 29,900,482,190.98/255,499.25
  6. Step 6: Final answer
    x = 117,027.67

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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.