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Finding the Fourth Proportional to 379,076.94, 522,699.70 and 309,950.72

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Solution

The fourth proportional to 379,076.94, 522,699.70 and 309,950.72 is: 427,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,076.94 : 522,699.70 = 309,950.72 : x
  2. Step 2: Convert to fraction form
    379,076.94/522,699.70 = 309,950.72/x
  3. Step 3: Cross multiply
    379,076.94x = 522,699.70 × 309,950.72
  4. Step 4: Simplify right side
    379,076.94x = 162,011,148,358.78
  5. Step 5: Solve for x
    x = 162,011,148,358.78/379,076.94
  6. Step 6: Final answer
    x = 427,383.29

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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.