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Finding the Fourth Proportional to 523,180, 784,777.38 and 149,203

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Solution

The fourth proportional to 523,180, 784,777.38 and 149,203 is: 223,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,180 : 784,777.38 = 149,203 : x
  2. Step 2: Convert to fraction form
    523,180/784,777.38 = 149,203/x
  3. Step 3: Cross multiply
    523,180x = 784,777.38 × 149,203
  4. Step 4: Simplify right side
    523,180x = 117,091,139,428.14
  5. Step 5: Solve for x
    x = 117,091,139,428.14/523,180
  6. Step 6: Final answer
    x = 223,806.60

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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.