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Finding the Fourth Proportional to 255,638.64, 383,459.04 and 78,144.96

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Solution

The fourth proportional to 255,638.64, 383,459.04 and 78,144.96 is: 117,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,638.64 : 383,459.04 = 78,144.96 : x
  2. Step 2: Convert to fraction form
    255,638.64/383,459.04 = 78,144.96/x
  3. Step 3: Cross multiply
    255,638.64x = 383,459.04 × 78,144.96
  4. Step 4: Simplify right side
    255,638.64x = 29,965,391,342.44
  5. Step 5: Solve for x
    x = 29,965,391,342.44/255,638.64
  6. Step 6: Final answer
    x = 117,217.77

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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.