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Finding the Fourth Proportional to 419,662.50, 579,134.52 and 228,675.84

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Solution

The fourth proportional to 419,662.50, 579,134.52 and 228,675.84 is: 315,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,662.50 : 579,134.52 = 228,675.84 : x
  2. Step 2: Convert to fraction form
    419,662.50/579,134.52 = 228,675.84/x
  3. Step 3: Cross multiply
    419,662.50x = 579,134.52 × 228,675.84
  4. Step 4: Simplify right side
    419,662.50x = 132,434,072,834.00
  5. Step 5: Solve for x
    x = 132,434,072,834.00/419,662.50
  6. Step 6: Final answer
    x = 315,572.81

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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.