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Finding the Fourth Proportional to 512,014.28, 768,686.72 and 393,769.40

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Solution

The fourth proportional to 512,014.28, 768,686.72 and 393,769.40 is: 591,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,014.28 : 768,686.72 = 393,769.40 : x
  2. Step 2: Convert to fraction form
    512,014.28/768,686.72 = 393,769.40/x
  3. Step 3: Cross multiply
    512,014.28x = 768,686.72 × 393,769.40
  4. Step 4: Simplify right side
    512,014.28x = 302,685,308,522.37
  5. Step 5: Solve for x
    x = 302,685,308,522.37/512,014.28
  6. Step 6: Final answer
    x = 591,165.76

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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.