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Finding the Fourth Proportional to 281,802.75, 388,914.69 and 160,962.09

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Solution

The fourth proportional to 281,802.75, 388,914.69 and 160,962.09 is: 222,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,802.75 : 388,914.69 = 160,962.09 : x
  2. Step 2: Convert to fraction form
    281,802.75/388,914.69 = 160,962.09/x
  3. Step 3: Cross multiply
    281,802.75x = 388,914.69 × 160,962.09
  4. Step 4: Simplify right side
    281,802.75x = 62,600,521,334.10
  5. Step 5: Solve for x
    x = 62,600,521,334.10/281,802.75
  6. Step 6: Final answer
    x = 222,143.05

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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.