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Finding the Fourth Proportional to 255,372.23, 383,057.30 and 77,878.73

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Solution

The fourth proportional to 255,372.23, 383,057.30 and 77,878.73 is: 116,817.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,372.23 : 383,057.30 = 77,878.73 : x
  2. Step 2: Convert to fraction form
    255,372.23/383,057.30 = 77,878.73/x
  3. Step 3: Cross multiply
    255,372.23x = 383,057.30 × 77,878.73
  4. Step 4: Simplify right side
    255,372.23x = 29,832,013,736.55
  5. Step 5: Solve for x
    x = 29,832,013,736.55/255,372.23
  6. Step 6: Final answer
    x = 116,817.77

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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.