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Finding the Fourth Proportional to 519,411.40, 778,922.70 and 182,321.80

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Solution

The fourth proportional to 519,411.40, 778,922.70 and 182,321.80 is: 273,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,411.40 : 778,922.70 = 182,321.80 : x
  2. Step 2: Convert to fraction form
    519,411.40/778,922.70 = 182,321.80/x
  3. Step 3: Cross multiply
    519,411.40x = 778,922.70 × 182,321.80
  4. Step 4: Simplify right side
    519,411.40x = 142,014,588,724.86
  5. Step 5: Solve for x
    x = 142,014,588,724.86/519,411.40
  6. Step 6: Final answer
    x = 273,414.46

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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.