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Finding the Fourth Proportional to 518,820.78, 778,255.02 and 158,965.86

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Solution

The fourth proportional to 518,820.78, 778,255.02 and 158,965.86 is: 238,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,820.78 : 778,255.02 = 158,965.86 : x
  2. Step 2: Convert to fraction form
    518,820.78/778,255.02 = 158,965.86/x
  3. Step 3: Cross multiply
    518,820.78x = 778,255.02 × 158,965.86
  4. Step 4: Simplify right side
    518,820.78x = 123,715,978,553.62
  5. Step 5: Solve for x
    x = 123,715,978,553.62/518,820.78
  6. Step 6: Final answer
    x = 238,456.10

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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.