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Finding the Fourth Proportional to 379,094.70, 522,724.17 and 309,968.49

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Solution

The fourth proportional to 379,094.70, 522,724.17 and 309,968.49 is: 427,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,094.70 : 522,724.17 = 309,968.49 : x
  2. Step 2: Convert to fraction form
    379,094.70/522,724.17 = 309,968.49/x
  3. Step 3: Cross multiply
    379,094.70x = 522,724.17 × 309,968.49
  4. Step 4: Simplify right side
    379,094.70x = 162,028,021,661.40
  5. Step 5: Solve for x
    x = 162,028,021,661.40/379,094.70
  6. Step 6: Final answer
    x = 427,407.77

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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.