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Finding the Fourth Proportional to 409,699.28, 614,639.14 and 125,392

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Solution

The fourth proportional to 409,699.28, 614,639.14 and 125,392 is: 188,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,699.28 : 614,639.14 = 125,392 : x
  2. Step 2: Convert to fraction form
    409,699.28/614,639.14 = 125,392/x
  3. Step 3: Cross multiply
    409,699.28x = 614,639.14 × 125,392
  4. Step 4: Simplify right side
    409,699.28x = 77,070,831,042.88
  5. Step 5: Solve for x
    x = 77,070,831,042.88/409,699.28
  6. Step 6: Final answer
    x = 188,115.61

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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.