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Finding the Fourth Proportional to 279,783.02, 419,633.54 and 137,590.08

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Solution

The fourth proportional to 279,783.02, 419,633.54 and 137,590.08 is: 206,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,783.02 : 419,633.54 = 137,590.08 : x
  2. Step 2: Convert to fraction form
    279,783.02/419,633.54 = 137,590.08/x
  3. Step 3: Cross multiply
    279,783.02x = 419,633.54 × 137,590.08
  4. Step 4: Simplify right side
    279,783.02x = 57,737,410,241.12
  5. Step 5: Solve for x
    x = 57,737,410,241.12/279,783.02
  6. Step 6: Final answer
    x = 206,364.95

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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.