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Finding the Fourth Proportional to 379,086.18, 522,712.44 and 309,959.98

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Solution

The fourth proportional to 379,086.18, 522,712.44 and 309,959.98 is: 427,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,086.18 : 522,712.44 = 309,959.98 : x
  2. Step 2: Convert to fraction form
    379,086.18/522,712.44 = 309,959.98/x
  3. Step 3: Cross multiply
    379,086.18x = 522,712.44 × 309,959.98
  4. Step 4: Simplify right side
    379,086.18x = 162,019,937,448.15
  5. Step 5: Solve for x
    x = 162,019,937,448.15/379,086.18
  6. Step 6: Final answer
    x = 427,396.05

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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.