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Finding the Fourth Proportional to 278,594.56, 384,166.56 and 197,938.08

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Solution

The fourth proportional to 278,594.56, 384,166.56 and 197,938.08 is: 272,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,594.56 : 384,166.56 = 197,938.08 : x
  2. Step 2: Convert to fraction form
    278,594.56/384,166.56 = 197,938.08/x
  3. Step 3: Cross multiply
    278,594.56x = 384,166.56 × 197,938.08
  4. Step 4: Simplify right side
    278,594.56x = 76,041,191,286.60
  5. Step 5: Solve for x
    x = 76,041,191,286.60/278,594.56
  6. Step 6: Final answer
    x = 272,945.71

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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.