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Finding the Fourth Proportional to 274,046.58, 377,840.16 and 209,594.88

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Solution

The fourth proportional to 274,046.58, 377,840.16 and 209,594.88 is: 288,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,046.58 : 377,840.16 = 209,594.88 : x
  2. Step 2: Convert to fraction form
    274,046.58/377,840.16 = 209,594.88/x
  3. Step 3: Cross multiply
    274,046.58x = 377,840.16 × 209,594.88
  4. Step 4: Simplify right side
    274,046.58x = 79,193,362,994.38
  5. Step 5: Solve for x
    x = 79,193,362,994.38/274,046.58
  6. Step 6: Final answer
    x = 288,977.75

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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.