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Finding the Fourth Proportional to 513,002.10, 768,628.35 and 437,769.30

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Solution

The fourth proportional to 513,002.10, 768,628.35 and 437,769.30 is: 655,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,002.10 : 768,628.35 = 437,769.30 : x
  2. Step 2: Convert to fraction form
    513,002.10/768,628.35 = 437,769.30/x
  3. Step 3: Cross multiply
    513,002.10x = 768,628.35 × 437,769.30
  4. Step 4: Simplify right side
    513,002.10x = 336,481,894,739.66
  5. Step 5: Solve for x
    x = 336,481,894,739.66/513,002.10
  6. Step 6: Final answer
    x = 655,907.44

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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.