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Finding the Fourth Proportional to 228,205.76, 342,364.73 and 78,448.10

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Solution

The fourth proportional to 228,205.76, 342,364.73 and 78,448.10 is: 117,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,205.76 : 342,364.73 = 78,448.10 : x
  2. Step 2: Convert to fraction form
    228,205.76/342,364.73 = 78,448.10/x
  3. Step 3: Cross multiply
    228,205.76x = 342,364.73 × 78,448.10
  4. Step 4: Simplify right side
    228,205.76x = 26,857,860,471.45
  5. Step 5: Solve for x
    x = 26,857,860,471.45/228,205.76
  6. Step 6: Final answer
    x = 117,691.42

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1.5x scale

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.