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Finding the Fourth Proportional to 228,570.42, 342,878.19 and 78,790.98

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Solution

The fourth proportional to 228,570.42, 342,878.19 and 78,790.98 is: 118,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,570.42 : 342,878.19 = 78,790.98 : x
  2. Step 2: Convert to fraction form
    228,570.42/342,878.19 = 78,790.98/x
  3. Step 3: Cross multiply
    228,570.42x = 342,878.19 × 78,790.98
  4. Step 4: Simplify right side
    228,570.42x = 27,015,708,610.73
  5. Step 5: Solve for x
    x = 27,015,708,610.73/228,570.42
  6. Step 6: Final answer
    x = 118,194.25

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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.