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Finding the Fourth Proportional to 295,922, 408,373.80 and 161,786

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Solution

The fourth proportional to 295,922, 408,373.80 and 161,786 is: 223,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,922 : 408,373.80 = 161,786 : x
  2. Step 2: Convert to fraction form
    295,922/408,373.80 = 161,786/x
  3. Step 3: Cross multiply
    295,922x = 408,373.80 × 161,786
  4. Step 4: Simplify right side
    295,922x = 66,069,163,606.80
  5. Step 5: Solve for x
    x = 66,069,163,606.80/295,922
  6. Step 6: Final answer
    x = 223,265.47

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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.