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Finding the Fourth Proportional to 280,873.95, 421,297.97 and 70,507.23

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Solution

The fourth proportional to 280,873.95, 421,297.97 and 70,507.23 is: 105,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,873.95 : 421,297.97 = 70,507.23 : x
  2. Step 2: Convert to fraction form
    280,873.95/421,297.97 = 70,507.23/x
  3. Step 3: Cross multiply
    280,873.95x = 421,297.97 × 70,507.23
  4. Step 4: Simplify right side
    280,873.95x = 29,704,552,516.79
  5. Step 5: Solve for x
    x = 29,704,552,516.79/280,873.95
  6. Step 6: Final answer
    x = 105,757.59

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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.