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Finding the Fourth Proportional to 419,188.61, 578,480.13 and 228,201.95

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Solution

The fourth proportional to 419,188.61, 578,480.13 and 228,201.95 is: 314,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,188.61 : 578,480.13 = 228,201.95 : x
  2. Step 2: Convert to fraction form
    419,188.61/578,480.13 = 228,201.95/x
  3. Step 3: Cross multiply
    419,188.61x = 578,480.13 × 228,201.95
  4. Step 4: Simplify right side
    419,188.61x = 132,010,295,148.45
  5. Step 5: Solve for x
    x = 132,010,295,148.45/419,188.61
  6. Step 6: Final answer
    x = 314,918.61

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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.