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Finding the Fourth Proportional to 419,732.15, 579,213.47 and 228,741.44

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Solution

The fourth proportional to 419,732.15, 579,213.47 and 228,741.44 is: 315,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,732.15 : 579,213.47 = 228,741.44 : x
  2. Step 2: Convert to fraction form
    419,732.15/579,213.47 = 228,741.44/x
  3. Step 3: Cross multiply
    419,732.15x = 579,213.47 × 228,741.44
  4. Step 4: Simplify right side
    419,732.15x = 132,490,125,215.08
  5. Step 5: Solve for x
    x = 132,490,125,215.08/419,732.15
  6. Step 6: Final answer
    x = 315,653.98

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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.