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Finding the Fourth Proportional to 419,187.50, 578,477.79 and 228,202.22

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Solution

The fourth proportional to 419,187.50, 578,477.79 and 228,202.22 is: 314,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,187.50 : 578,477.79 = 228,202.22 : x
  2. Step 2: Convert to fraction form
    419,187.50/578,477.79 = 228,202.22/x
  3. Step 3: Cross multiply
    419,187.50x = 578,477.79 × 228,202.22
  4. Step 4: Simplify right side
    419,187.50x = 132,009,915,898.69
  5. Step 5: Solve for x
    x = 132,009,915,898.69/419,187.50
  6. Step 6: Final answer
    x = 314,918.54

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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.