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Finding the Fourth Proportional to 287,683, 397,172.63 and 255,763.54

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Solution

The fourth proportional to 287,683, 397,172.63 and 255,763.54 is: 353,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,683 : 397,172.63 = 255,763.54 : x
  2. Step 2: Convert to fraction form
    287,683/397,172.63 = 255,763.54/x
  3. Step 3: Cross multiply
    287,683x = 397,172.63 × 255,763.54
  4. Step 4: Simplify right side
    287,683x = 101,582,277,839.91
  5. Step 5: Solve for x
    x = 101,582,277,839.91/287,683
  6. Step 6: Final answer
    x = 353,104.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.