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Finding the Fourth Proportional to 295,708.60, 442,906.80 and 228,786.40

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Solution

The fourth proportional to 295,708.60, 442,906.80 and 228,786.40 is: 342,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,708.60 : 442,906.80 = 228,786.40 : x
  2. Step 2: Convert to fraction form
    295,708.60/442,906.80 = 228,786.40/x
  3. Step 3: Cross multiply
    295,708.60x = 442,906.80 × 228,786.40
  4. Step 4: Simplify right side
    295,708.60x = 101,331,052,307.52
  5. Step 5: Solve for x
    x = 101,331,052,307.52/295,708.60
  6. Step 6: Final answer
    x = 342,671.98

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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.