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Finding the Fourth Proportional to 419,709.78, 579,182.63 and 228,719.07

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Solution

The fourth proportional to 419,709.78, 579,182.63 and 228,719.07 is: 315,623.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,709.78 : 579,182.63 = 228,719.07 : x
  2. Step 2: Convert to fraction form
    419,709.78/579,182.63 = 228,719.07/x
  3. Step 3: Cross multiply
    419,709.78x = 579,182.63 × 228,719.07
  4. Step 4: Simplify right side
    419,709.78x = 132,470,112,493.75
  5. Step 5: Solve for x
    x = 132,470,112,493.75/419,709.78
  6. Step 6: Final answer
    x = 315,623.13

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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.