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Finding the Fourth Proportional to 419,003.80, 578,230.62 and 228,022.36

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Solution

The fourth proportional to 419,003.80, 578,230.62 and 228,022.36 is: 314,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,003.80 : 578,230.62 = 228,022.36 : x
  2. Step 2: Convert to fraction form
    419,003.80/578,230.62 = 228,022.36/x
  3. Step 3: Cross multiply
    419,003.80x = 578,230.62 × 228,022.36
  4. Step 4: Simplify right side
    419,003.80x = 131,849,510,596.66
  5. Step 5: Solve for x
    x = 131,849,510,596.66/419,003.80
  6. Step 6: Final answer
    x = 314,673.78

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1.5x scale

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.