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Finding the Fourth Proportional to 536,634.70, 803,623.41 and 394,142.07

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Solution

The fourth proportional to 536,634.70, 803,623.41 and 394,142.07 is: 590,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,634.70 : 803,623.41 = 394,142.07 : x
  2. Step 2: Convert to fraction form
    536,634.70/803,623.41 = 394,142.07/x
  3. Step 3: Cross multiply
    536,634.70x = 803,623.41 × 394,142.07
  4. Step 4: Simplify right side
    536,634.70x = 316,741,794,317.86
  5. Step 5: Solve for x
    x = 316,741,794,317.86/536,634.70
  6. Step 6: Final answer
    x = 590,237.26

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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.