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Finding the Fourth Proportional to 523,244.50, 784,983.75 and 190,820.50

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Solution

The fourth proportional to 523,244.50, 784,983.75 and 190,820.50 is: 286,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,244.50 : 784,983.75 = 190,820.50 : x
  2. Step 2: Convert to fraction form
    523,244.50/784,983.75 = 190,820.50/x
  3. Step 3: Cross multiply
    523,244.50x = 784,983.75 × 190,820.50
  4. Step 4: Simplify right side
    523,244.50x = 149,790,991,666.88
  5. Step 5: Solve for x
    x = 149,790,991,666.88/523,244.50
  6. Step 6: Final answer
    x = 286,273.42

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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.