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Finding the Fourth Proportional to 419,409.05, 578,791.07 and 228,422.28

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Solution

The fourth proportional to 419,409.05, 578,791.07 and 228,422.28 is: 315,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,409.05 : 578,791.07 = 228,422.28 : x
  2. Step 2: Convert to fraction form
    419,409.05/578,791.07 = 228,422.28/x
  3. Step 3: Cross multiply
    419,409.05x = 578,791.07 × 228,422.28
  4. Step 4: Simplify right side
    419,409.05x = 132,208,774,710.93
  5. Step 5: Solve for x
    x = 132,208,774,710.93/419,409.05
  6. Step 6: Final answer
    x = 315,226.33

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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.