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Finding the Fourth Proportional to 523,244, 784,983 and 190,820

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Solution

The fourth proportional to 523,244, 784,983 and 190,820 is: 286,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,244 : 784,983 = 190,820 : x
  2. Step 2: Convert to fraction form
    523,244/784,983 = 190,820/x
  3. Step 3: Cross multiply
    523,244x = 784,983 × 190,820
  4. Step 4: Simplify right side
    523,244x = 149,790,456,060
  5. Step 5: Solve for x
    x = 149,790,456,060/523,244
  6. Step 6: Final answer
    x = 286,272.67

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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.