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Finding the Fourth Proportional to 228,591.28, 342,903.35 and 78,829.42

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Solution

The fourth proportional to 228,591.28, 342,903.35 and 78,829.42 is: 118,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,591.28 : 342,903.35 = 78,829.42 : x
  2. Step 2: Convert to fraction form
    228,591.28/342,903.35 = 78,829.42/x
  3. Step 3: Cross multiply
    228,591.28x = 342,903.35 × 78,829.42
  4. Step 4: Simplify right side
    228,591.28x = 27,030,870,087.89
  5. Step 5: Solve for x
    x = 27,030,870,087.89/228,591.28
  6. Step 6: Final answer
    x = 118,249.79

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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.