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Finding the Fourth Proportional to 510,850.85, 766,339.89 and 173,865.61

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Solution

The fourth proportional to 510,850.85, 766,339.89 and 173,865.61 is: 260,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,850.85 : 766,339.89 = 173,865.61 : x
  2. Step 2: Convert to fraction form
    510,850.85/766,339.89 = 173,865.61/x
  3. Step 3: Cross multiply
    510,850.85x = 766,339.89 × 173,865.61
  4. Step 4: Simplify right side
    510,850.85x = 133,240,148,610.48
  5. Step 5: Solve for x
    x = 133,240,148,610.48/510,850.85
  6. Step 6: Final answer
    x = 260,820.06

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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.