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Finding the Fourth Proportional to 512,305.32, 768,495 and 196,762.32

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Solution

The fourth proportional to 512,305.32, 768,495 and 196,762.32 is: 295,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,305.32 : 768,495 = 196,762.32 : x
  2. Step 2: Convert to fraction form
    512,305.32/768,495 = 196,762.32/x
  3. Step 3: Cross multiply
    512,305.32x = 768,495 × 196,762.32
  4. Step 4: Simplify right side
    512,305.32x = 151,210,859,108.40
  5. Step 5: Solve for x
    x = 151,210,859,108.40/512,305.32
  6. Step 6: Final answer
    x = 295,157.70

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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.