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Finding the Fourth Proportional to 512,185.80, 768,400.02 and 175,230.12

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Solution

The fourth proportional to 512,185.80, 768,400.02 and 175,230.12 is: 262,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,185.80 : 768,400.02 = 175,230.12 : x
  2. Step 2: Convert to fraction form
    512,185.80/768,400.02 = 175,230.12/x
  3. Step 3: Cross multiply
    512,185.80x = 768,400.02 × 175,230.12
  4. Step 4: Simplify right side
    512,185.80x = 134,646,827,712.60
  5. Step 5: Solve for x
    x = 134,646,827,712.60/512,185.80
  6. Step 6: Final answer
    x = 262,886.69

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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.