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Finding the Fourth Proportional to 419,273.56, 578,590.02 and 228,283.48

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Solution

The fourth proportional to 419,273.56, 578,590.02 and 228,283.48 is: 315,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,273.56 : 578,590.02 = 228,283.48 : x
  2. Step 2: Convert to fraction form
    419,273.56/578,590.02 = 228,283.48/x
  3. Step 3: Cross multiply
    419,273.56x = 578,590.02 × 228,283.48
  4. Step 4: Simplify right side
    419,273.56x = 132,082,543,258.87
  5. Step 5: Solve for x
    x = 132,082,543,258.87/419,273.56
  6. Step 6: Final answer
    x = 315,027.12

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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.