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Finding the Fourth Proportional to 393,459.06, 590,221.12 and 165,820.54

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Solution

The fourth proportional to 393,459.06, 590,221.12 and 165,820.54 is: 248,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,459.06 : 590,221.12 = 165,820.54 : x
  2. Step 2: Convert to fraction form
    393,459.06/590,221.12 = 165,820.54/x
  3. Step 3: Cross multiply
    393,459.06x = 590,221.12 × 165,820.54
  4. Step 4: Simplify right side
    393,459.06x = 97,870,784,837.80
  5. Step 5: Solve for x
    x = 97,870,784,837.80/393,459.06
  6. Step 6: Final answer
    x = 248,744.52

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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.