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Finding the Fourth Proportional to 523,121.25, 784,689.18 and 149,144.25

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Solution

The fourth proportional to 523,121.25, 784,689.18 and 149,144.25 is: 223,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,121.25 : 784,689.18 = 149,144.25 : x
  2. Step 2: Convert to fraction form
    523,121.25/784,689.18 = 149,144.25/x
  3. Step 3: Cross multiply
    523,121.25x = 784,689.18 × 149,144.25
  4. Step 4: Simplify right side
    523,121.25x = 117,031,879,234.22
  5. Step 5: Solve for x
    x = 117,031,879,234.22/523,121.25
  6. Step 6: Final answer
    x = 223,718.46

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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.