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Finding the Fourth Proportional to 386,054.60, 578,811.90 and 228,201.80

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Solution

The fourth proportional to 386,054.60, 578,811.90 and 228,201.80 is: 342,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,054.60 : 578,811.90 = 228,201.80 : x
  2. Step 2: Convert to fraction form
    386,054.60/578,811.90 = 228,201.80/x
  3. Step 3: Cross multiply
    386,054.60x = 578,811.90 × 228,201.80
  4. Step 4: Simplify right side
    386,054.60x = 132,085,917,441.42
  5. Step 5: Solve for x
    x = 132,085,917,441.42/386,054.60
  6. Step 6: Final answer
    x = 342,143.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.