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Finding the Fourth Proportional to 448,658.78, 672,717.22 and 178,828.54

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Solution

The fourth proportional to 448,658.78, 672,717.22 and 178,828.54 is: 268,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,658.78 : 672,717.22 = 178,828.54 : x
  2. Step 2: Convert to fraction form
    448,658.78/672,717.22 = 178,828.54/x
  3. Step 3: Cross multiply
    448,658.78x = 672,717.22 × 178,828.54
  4. Step 4: Simplify right side
    448,658.78x = 120,301,036,156.59
  5. Step 5: Solve for x
    x = 120,301,036,156.59/448,658.78
  6. Step 6: Final answer
    x = 268,134.81

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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.