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Finding the Fourth Proportional to 519,414, 779,259.24 and 164,435.28

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Solution

The fourth proportional to 519,414, 779,259.24 and 164,435.28 is: 246,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,414 : 779,259.24 = 164,435.28 : x
  2. Step 2: Convert to fraction form
    519,414/779,259.24 = 164,435.28/x
  3. Step 3: Cross multiply
    519,414x = 779,259.24 × 164,435.28
  4. Step 4: Simplify right side
    519,414x = 128,137,711,321.99
  5. Step 5: Solve for x
    x = 128,137,711,321.99/519,414
  6. Step 6: Final answer
    x = 246,696.68

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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.