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Finding the Fourth Proportional to 512,375.40, 768,563.10 and 354,911.40

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Solution

The fourth proportional to 512,375.40, 768,563.10 and 354,911.40 is: 532,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,375.40 : 768,563.10 = 354,911.40 : x
  2. Step 2: Convert to fraction form
    512,375.40/768,563.10 = 354,911.40/x
  3. Step 3: Cross multiply
    512,375.40x = 768,563.10 × 354,911.40
  4. Step 4: Simplify right side
    512,375.40x = 272,771,805,809.34
  5. Step 5: Solve for x
    x = 272,771,805,809.34/512,375.40
  6. Step 6: Final answer
    x = 532,367.10

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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.