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Finding the Fourth Proportional to 287,223, 396,109.68 and 179,802.80

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Solution

The fourth proportional to 287,223, 396,109.68 and 179,802.80 is: 247,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,223 : 396,109.68 = 179,802.80 : x
  2. Step 2: Convert to fraction form
    287,223/396,109.68 = 179,802.80/x
  3. Step 3: Cross multiply
    287,223x = 396,109.68 × 179,802.80
  4. Step 4: Simplify right side
    287,223x = 71,221,629,571.10
  5. Step 5: Solve for x
    x = 71,221,629,571.10/287,223
  6. Step 6: Final answer
    x = 247,966.32

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1.5x scale

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.