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Finding the Fourth Proportional to 408,035.48, 611,315.10 and 348,986.48

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Solution

The fourth proportional to 408,035.48, 611,315.10 and 348,986.48 is: 522,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,035.48 : 611,315.10 = 348,986.48 : x
  2. Step 2: Convert to fraction form
    408,035.48/611,315.10 = 348,986.48/x
  3. Step 3: Cross multiply
    408,035.48x = 611,315.10 × 348,986.48
  4. Step 4: Simplify right side
    408,035.48x = 213,340,701,863.27
  5. Step 5: Solve for x
    x = 213,340,701,863.27/408,035.48
  6. Step 6: Final answer
    x = 522,848.42

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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.