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Finding the Fourth Proportional to 419,678.16, 579,162.48 and 228,691.44

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Solution

The fourth proportional to 419,678.16, 579,162.48 and 228,691.44 is: 315,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,678.16 : 579,162.48 = 228,691.44 : x
  2. Step 2: Convert to fraction form
    419,678.16/579,162.48 = 228,691.44/x
  3. Step 3: Cross multiply
    419,678.16x = 579,162.48 × 228,691.44
  4. Step 4: Simplify right side
    419,678.16x = 132,449,501,545.17
  5. Step 5: Solve for x
    x = 132,449,501,545.17/419,678.16
  6. Step 6: Final answer
    x = 315,597.79

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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.