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Finding the Fourth Proportional to 286,651.40, 395,570.22 and 164,139.80

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Solution

The fourth proportional to 286,651.40, 395,570.22 and 164,139.80 is: 226,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,651.40 : 395,570.22 = 164,139.80 : x
  2. Step 2: Convert to fraction form
    286,651.40/395,570.22 = 164,139.80/x
  3. Step 3: Cross multiply
    286,651.40x = 395,570.22 × 164,139.80
  4. Step 4: Simplify right side
    286,651.40x = 64,928,816,796.76
  5. Step 5: Solve for x
    x = 64,928,816,796.76/286,651.40
  6. Step 6: Final answer
    x = 226,507.94

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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.