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Finding the Fourth Proportional to 393,407.01, 589,808.12 and 203,663.97

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Solution

The fourth proportional to 393,407.01, 589,808.12 and 203,663.97 is: 305,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,407.01 : 589,808.12 = 203,663.97 : x
  2. Step 2: Convert to fraction form
    393,407.01/589,808.12 = 203,663.97/x
  3. Step 3: Cross multiply
    393,407.01x = 589,808.12 × 203,663.97
  4. Step 4: Simplify right side
    393,407.01x = 120,122,662,239.12
  5. Step 5: Solve for x
    x = 120,122,662,239.12/393,407.01
  6. Step 6: Final answer
    x = 305,339.40

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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.