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Finding the Fourth Proportional to 512,389.19, 768,620.54 and 147,635.87

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Solution

The fourth proportional to 512,389.19, 768,620.54 and 147,635.87 is: 221,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,389.19 : 768,620.54 = 147,635.87 : x
  2. Step 2: Convert to fraction form
    512,389.19/768,620.54 = 147,635.87/x
  3. Step 3: Cross multiply
    512,389.19x = 768,620.54 × 147,635.87
  4. Step 4: Simplify right side
    512,389.19x = 113,475,958,648.76
  5. Step 5: Solve for x
    x = 113,475,958,648.76/512,389.19
  6. Step 6: Final answer
    x = 221,464.39

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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.