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Finding the Fourth Proportional to 512,214.40, 768,155.52 and 170,566.72

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Solution

The fourth proportional to 512,214.40, 768,155.52 and 170,566.72 is: 255,794.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,214.40 : 768,155.52 = 170,566.72 : x
  2. Step 2: Convert to fraction form
    512,214.40/768,155.52 = 170,566.72/x
  3. Step 3: Cross multiply
    512,214.40x = 768,155.52 × 170,566.72
  4. Step 4: Simplify right side
    512,214.40x = 131,021,767,496.29
  5. Step 5: Solve for x
    x = 131,021,767,496.29/512,214.40
  6. Step 6: Final answer
    x = 255,794.78

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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.