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Finding the Fourth Proportional to 386,055.60, 578,813.40 and 228,202.80

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Solution

The fourth proportional to 386,055.60, 578,813.40 and 228,202.80 is: 342,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,055.60 : 578,813.40 = 228,202.80 : x
  2. Step 2: Convert to fraction form
    386,055.60/578,813.40 = 228,202.80/x
  3. Step 3: Cross multiply
    386,055.60x = 578,813.40 × 228,202.80
  4. Step 4: Simplify right side
    386,055.60x = 132,086,838,557.52
  5. Step 5: Solve for x
    x = 132,086,838,557.52/386,055.60
  6. Step 6: Final answer
    x = 342,144.60

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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.