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Finding the Fourth Proportional to 413,071.20, 619,606.80 and 397,324.80

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Solution

The fourth proportional to 413,071.20, 619,606.80 and 397,324.80 is: 595,987.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,071.20 : 619,606.80 = 397,324.80 : x
  2. Step 2: Convert to fraction form
    413,071.20/619,606.80 = 397,324.80/x
  3. Step 3: Cross multiply
    413,071.20x = 619,606.80 × 397,324.80
  4. Step 4: Simplify right side
    413,071.20x = 246,185,147,888.64
  5. Step 5: Solve for x
    x = 246,185,147,888.64/413,071.20
  6. Step 6: Final answer
    x = 595,987.20

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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.