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Finding the Fourth Proportional to 419,728.40, 579,225.62 and 228,741.94

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Solution

The fourth proportional to 419,728.40, 579,225.62 and 228,741.94 is: 315,664.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,728.40 : 579,225.62 = 228,741.94 : x
  2. Step 2: Convert to fraction form
    419,728.40/579,225.62 = 228,741.94/x
  3. Step 3: Cross multiply
    419,728.40x = 579,225.62 × 228,741.94
  4. Step 4: Simplify right side
    419,728.40x = 132,493,192,016.50
  5. Step 5: Solve for x
    x = 132,493,192,016.50/419,728.40
  6. Step 6: Final answer
    x = 315,664.11

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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.