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Finding the Fourth Proportional to 393,556.30, 590,140.35 and 165,810.34

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Solution

The fourth proportional to 393,556.30, 590,140.35 and 165,810.34 is: 248,633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,556.30 : 590,140.35 = 165,810.34 : x
  2. Step 2: Convert to fraction form
    393,556.30/590,140.35 = 165,810.34/x
  3. Step 3: Cross multiply
    393,556.30x = 590,140.35 × 165,810.34
  4. Step 4: Simplify right side
    393,556.30x = 97,851,372,081.22
  5. Step 5: Solve for x
    x = 97,851,372,081.22/393,556.30
  6. Step 6: Final answer
    x = 248,633.73

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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.