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Finding the Fourth Proportional to 512,281.86, 706,920.21 and 285,941.94

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Solution

The fourth proportional to 512,281.86, 706,920.21 and 285,941.94 is: 394,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,281.86 : 706,920.21 = 285,941.94 : x
  2. Step 2: Convert to fraction form
    512,281.86/706,920.21 = 285,941.94/x
  3. Step 3: Cross multiply
    512,281.86x = 706,920.21 × 285,941.94
  4. Step 4: Simplify right side
    512,281.86x = 202,138,136,272.61
  5. Step 5: Solve for x
    x = 202,138,136,272.61/512,281.86
  6. Step 6: Final answer
    x = 394,583.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.