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Finding the Fourth Proportional to 419,281.70, 578,610.14 and 228,296.25

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Solution

The fourth proportional to 419,281.70, 578,610.14 and 228,296.25 is: 315,049.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,281.70 : 578,610.14 = 228,296.25 : x
  2. Step 2: Convert to fraction form
    419,281.70/578,610.14 = 228,296.25/x
  3. Step 3: Cross multiply
    419,281.70x = 578,610.14 × 228,296.25
  4. Step 4: Simplify right side
    419,281.70x = 132,094,524,032.49
  5. Step 5: Solve for x
    x = 132,094,524,032.49/419,281.70
  6. Step 6: Final answer
    x = 315,049.59

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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.