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Finding the Fourth Proportional to 419,231.84, 578,540.02 and 228,245.24

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Solution

The fourth proportional to 419,231.84, 578,540.02 and 228,245.24 is: 314,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,231.84 : 578,540.02 = 228,245.24 : x
  2. Step 2: Convert to fraction form
    419,231.84/578,540.02 = 228,245.24/x
  3. Step 3: Cross multiply
    419,231.84x = 578,540.02 × 228,245.24
  4. Step 4: Simplify right side
    419,231.84x = 132,049,005,714.51
  5. Step 5: Solve for x
    x = 132,049,005,714.51/419,231.84
  6. Step 6: Final answer
    x = 314,978.48

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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.