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Finding the Fourth Proportional to 553,672.48, 763,271.76 and 394,420

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Solution

The fourth proportional to 553,672.48, 763,271.76 and 394,420 is: 543,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,672.48 : 763,271.76 = 394,420 : x
  2. Step 2: Convert to fraction form
    553,672.48/763,271.76 = 394,420/x
  3. Step 3: Cross multiply
    553,672.48x = 763,271.76 × 394,420
  4. Step 4: Simplify right side
    553,672.48x = 301,049,647,579.20
  5. Step 5: Solve for x
    x = 301,049,647,579.20/553,672.48
  6. Step 6: Final answer
    x = 543,732.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.