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Finding the Fourth Proportional to 523,212, 784,825.40 and 149,235

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Solution

The fourth proportional to 523,212, 784,825.40 and 149,235 is: 223,854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,212 : 784,825.40 = 149,235 : x
  2. Step 2: Convert to fraction form
    523,212/784,825.40 = 149,235/x
  3. Step 3: Cross multiply
    523,212x = 784,825.40 × 149,235
  4. Step 4: Simplify right side
    523,212x = 117,123,418,569
  5. Step 5: Solve for x
    x = 117,123,418,569/523,212
  6. Step 6: Final answer
    x = 223,854.61

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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.