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Finding the Fourth Proportional to 413,096.40, 619,644.60 and 388,213.20

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Solution

The fourth proportional to 413,096.40, 619,644.60 and 388,213.20 is: 582,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,096.40 : 619,644.60 = 388,213.20 : x
  2. Step 2: Convert to fraction form
    413,096.40/619,644.60 = 388,213.20/x
  3. Step 3: Cross multiply
    413,096.40x = 619,644.60 × 388,213.20
  4. Step 4: Simplify right side
    413,096.40x = 240,554,213,028.72
  5. Step 5: Solve for x
    x = 240,554,213,028.72/413,096.40
  6. Step 6: Final answer
    x = 582,319.80

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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.