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Finding the Fourth Proportional to 419,620.74, 579,080.87 and 228,637.32

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Solution

The fourth proportional to 419,620.74, 579,080.87 and 228,637.32 is: 315,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,620.74 : 579,080.87 = 228,637.32 : x
  2. Step 2: Convert to fraction form
    419,620.74/579,080.87 = 228,637.32/x
  3. Step 3: Cross multiply
    419,620.74x = 579,080.87 × 228,637.32
  4. Step 4: Simplify right side
    419,620.74x = 132,399,498,180.07
  5. Step 5: Solve for x
    x = 132,399,498,180.07/419,620.74
  6. Step 6: Final answer
    x = 315,521.82

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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.