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Finding the Fourth Proportional to 408,051.56, 611,997.65 and 387,797.81

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Solution

The fourth proportional to 408,051.56, 611,997.65 and 387,797.81 is: 581,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051.56 : 611,997.65 = 387,797.81 : x
  2. Step 2: Convert to fraction form
    408,051.56/611,997.65 = 387,797.81/x
  3. Step 3: Cross multiply
    408,051.56x = 611,997.65 × 387,797.81
  4. Step 4: Simplify right side
    408,051.56x = 237,331,343,396.17
  5. Step 5: Solve for x
    x = 237,331,343,396.17/408,051.56
  6. Step 6: Final answer
    x = 581,620.98

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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.