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Finding the Fourth Proportional to 255,715.54, 383,573.32 and 78,221.06

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Solution

The fourth proportional to 255,715.54, 383,573.32 and 78,221.06 is: 117,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,715.54 : 383,573.32 = 78,221.06 : x
  2. Step 2: Convert to fraction form
    255,715.54/383,573.32 = 78,221.06/x
  3. Step 3: Cross multiply
    255,715.54x = 383,573.32 × 78,221.06
  4. Step 4: Simplify right side
    255,715.54x = 30,003,511,678.12
  5. Step 5: Solve for x
    x = 30,003,511,678.12/255,715.54
  6. Step 6: Final answer
    x = 117,331.59

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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.