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Finding the Fourth Proportional to 521,874.18, 782,814.90 and 142,786.86

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Solution

The fourth proportional to 521,874.18, 782,814.90 and 142,786.86 is: 214,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,874.18 : 782,814.90 = 142,786.86 : x
  2. Step 2: Convert to fraction form
    521,874.18/782,814.90 = 142,786.86/x
  3. Step 3: Cross multiply
    521,874.18x = 782,814.90 × 142,786.86
  4. Step 4: Simplify right side
    521,874.18x = 111,775,681,532.21
  5. Step 5: Solve for x
    x = 111,775,681,532.21/521,874.18
  6. Step 6: Final answer
    x = 214,181.28

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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.