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Finding the Fourth Proportional to 433,992, 650,991.84 and 153,556.80

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Solution

The fourth proportional to 433,992, 650,991.84 and 153,556.80 is: 230,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,992 : 650,991.84 = 153,556.80 : x
  2. Step 2: Convert to fraction form
    433,992/650,991.84 = 153,556.80/x
  3. Step 3: Cross multiply
    433,992x = 650,991.84 × 153,556.80
  4. Step 4: Simplify right side
    433,992x = 99,964,223,776.51
  5. Step 5: Solve for x
    x = 99,964,223,776.51/433,992
  6. Step 6: Final answer
    x = 230,336.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.