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Finding the Fourth Proportional to 255,832.96, 383,879.04 and 172,552

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Solution

The fourth proportional to 255,832.96, 383,879.04 and 172,552 is: 258,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,832.96 : 383,879.04 = 172,552 : x
  2. Step 2: Convert to fraction form
    255,832.96/383,879.04 = 172,552/x
  3. Step 3: Cross multiply
    255,832.96x = 383,879.04 × 172,552
  4. Step 4: Simplify right side
    255,832.96x = 66,239,096,110.08
  5. Step 5: Solve for x
    x = 66,239,096,110.08/255,832.96
  6. Step 6: Final answer
    x = 258,915.41

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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.