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Finding the Fourth Proportional to 280,407.93, 419,873.78 and 167,821.17

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Solution

The fourth proportional to 280,407.93, 419,873.78 and 167,821.17 is: 251,290.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,407.93 : 419,873.78 = 167,821.17 : x
  2. Step 2: Convert to fraction form
    280,407.93/419,873.78 = 167,821.17/x
  3. Step 3: Cross multiply
    280,407.93x = 419,873.78 × 167,821.17
  4. Step 4: Simplify right side
    280,407.93x = 70,463,706,912.95
  5. Step 5: Solve for x
    x = 70,463,706,912.95/280,407.93
  6. Step 6: Final answer
    x = 251,290.00

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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.