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Finding the Fourth Proportional to 419,710.29, 579,183.31 and 228,719.58

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Solution

The fourth proportional to 419,710.29, 579,183.31 and 228,719.58 is: 315,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,710.29 : 579,183.31 = 228,719.58 : x
  2. Step 2: Convert to fraction form
    419,710.29/579,183.31 = 228,719.58/x
  3. Step 3: Cross multiply
    419,710.29x = 579,183.31 × 228,719.58
  4. Step 4: Simplify right side
    419,710.29x = 132,470,563,406.21
  5. Step 5: Solve for x
    x = 132,470,563,406.21/419,710.29
  6. Step 6: Final answer
    x = 315,623.82

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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.