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Finding the Fourth Proportional to 280,783.24, 421,020.62 and 138,315.04

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Solution

The fourth proportional to 280,783.24, 421,020.62 and 138,315.04 is: 207,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,783.24 : 421,020.62 = 138,315.04 : x
  2. Step 2: Convert to fraction form
    280,783.24/421,020.62 = 138,315.04/x
  3. Step 3: Cross multiply
    280,783.24x = 421,020.62 × 138,315.04
  4. Step 4: Simplify right side
    280,783.24x = 58,233,483,896.12
  5. Step 5: Solve for x
    x = 58,233,483,896.12/280,783.24
  6. Step 6: Final answer
    x = 207,396.58

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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.