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Finding the Fourth Proportional to 280,940.66, 421,323.14 and 93,908.42

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Solution

The fourth proportional to 280,940.66, 421,323.14 and 93,908.42 is: 140,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,940.66 : 421,323.14 = 93,908.42 : x
  2. Step 2: Convert to fraction form
    280,940.66/421,323.14 = 93,908.42/x
  3. Step 3: Cross multiply
    280,940.66x = 421,323.14 × 93,908.42
  4. Step 4: Simplify right side
    280,940.66x = 39,565,790,386.84
  5. Step 5: Solve for x
    x = 39,565,790,386.84/280,940.66
  6. Step 6: Final answer
    x = 140,833.26

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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.