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Finding the Fourth Proportional to 278,817.59, 384,677.42 and 162,504.52

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Solution

The fourth proportional to 278,817.59, 384,677.42 and 162,504.52 is: 224,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,817.59 : 384,677.42 = 162,504.52 : x
  2. Step 2: Convert to fraction form
    278,817.59/384,677.42 = 162,504.52/x
  3. Step 3: Cross multiply
    278,817.59x = 384,677.42 × 162,504.52
  4. Step 4: Simplify right side
    278,817.59x = 62,511,819,713.72
  5. Step 5: Solve for x
    x = 62,511,819,713.72/278,817.59
  6. Step 6: Final answer
    x = 224,203.28

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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.