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Finding the Fourth Proportional to 512,540.64, 768,276 and 175,482

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Solution

The fourth proportional to 512,540.64, 768,276 and 175,482 is: 263,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,540.64 : 768,276 = 175,482 : x
  2. Step 2: Convert to fraction form
    512,540.64/768,276 = 175,482/x
  3. Step 3: Cross multiply
    512,540.64x = 768,276 × 175,482
  4. Step 4: Simplify right side
    512,540.64x = 134,818,609,032
  5. Step 5: Solve for x
    x = 134,818,609,032/512,540.64
  6. Step 6: Final answer
    x = 263,039.84

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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.