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Finding the Fourth Proportional to 228,305.86, 342,458.79 and 78,549.82

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Solution

The fourth proportional to 228,305.86, 342,458.79 and 78,549.82 is: 117,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,305.86 : 342,458.79 = 78,549.82 : x
  2. Step 2: Convert to fraction form
    228,305.86/342,458.79 = 78,549.82/x
  3. Step 3: Cross multiply
    228,305.86x = 342,458.79 × 78,549.82
  4. Step 4: Simplify right side
    228,305.86x = 26,900,076,311.92
  5. Step 5: Solve for x
    x = 26,900,076,311.92/228,305.86
  6. Step 6: Final answer
    x = 117,824.73

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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.