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Finding the Fourth Proportional to 512,521.96, 768,909.84 and 152,691.21

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Solution

The fourth proportional to 512,521.96, 768,909.84 and 152,691.21 is: 229,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,521.96 : 768,909.84 = 152,691.21 : x
  2. Step 2: Convert to fraction form
    512,521.96/768,909.84 = 152,691.21/x
  3. Step 3: Cross multiply
    512,521.96x = 768,909.84 × 152,691.21
  4. Step 4: Simplify right side
    512,521.96x = 117,405,773,850.51
  5. Step 5: Solve for x
    x = 117,405,773,850.51/512,521.96
  6. Step 6: Final answer
    x = 229,074.62

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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.