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Finding the Fourth Proportional to 523,228, 784,849.38 and 149,251

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Solution

The fourth proportional to 523,228, 784,849.38 and 149,251 is: 223,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,228 : 784,849.38 = 149,251 : x
  2. Step 2: Convert to fraction form
    523,228/784,849.38 = 149,251/x
  3. Step 3: Cross multiply
    523,228x = 784,849.38 × 149,251
  4. Step 4: Simplify right side
    523,228x = 117,139,554,814.38
  5. Step 5: Solve for x
    x = 117,139,554,814.38/523,228
  6. Step 6: Final answer
    x = 223,878.61

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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.