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Finding the Fourth Proportional to 512,999.40, 769,499.10 and 475,674.60

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Solution

The fourth proportional to 512,999.40, 769,499.10 and 475,674.60 is: 713,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,999.40 : 769,499.10 = 475,674.60 : x
  2. Step 2: Convert to fraction form
    512,999.40/769,499.10 = 475,674.60/x
  3. Step 3: Cross multiply
    512,999.40x = 769,499.10 × 475,674.60
  4. Step 4: Simplify right side
    512,999.40x = 366,031,176,592.86
  5. Step 5: Solve for x
    x = 366,031,176,592.86/512,999.40
  6. Step 6: Final answer
    x = 713,511.90

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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.