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Finding the Fourth Proportional to 409,306.20, 613,959.30 and 393,559.80

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Solution

The fourth proportional to 409,306.20, 613,959.30 and 393,559.80 is: 590,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,306.20 : 613,959.30 = 393,559.80 : x
  2. Step 2: Convert to fraction form
    409,306.20/613,959.30 = 393,559.80/x
  3. Step 3: Cross multiply
    409,306.20x = 613,959.30 × 393,559.80
  4. Step 4: Simplify right side
    409,306.20x = 241,629,699,316.14
  5. Step 5: Solve for x
    x = 241,629,699,316.14/409,306.20
  6. Step 6: Final answer
    x = 590,339.70

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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.