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Finding the Fourth Proportional to 686,889.43, 947,964.03 and 381,064.25

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Solution

The fourth proportional to 686,889.43, 947,964.03 and 381,064.25 is: 525,900.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,889.43 : 947,964.03 = 381,064.25 : x
  2. Step 2: Convert to fraction form
    686,889.43/947,964.03 = 381,064.25/x
  3. Step 3: Cross multiply
    686,889.43x = 947,964.03 × 381,064.25
  4. Step 4: Simplify right side
    686,889.43x = 361,235,200,942.78
  5. Step 5: Solve for x
    x = 361,235,200,942.78/686,889.43
  6. Step 6: Final answer
    x = 525,900.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.