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Finding the Fourth Proportional to 315,330.78, 472,714.86 and 115,604.54

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Solution

The fourth proportional to 315,330.78, 472,714.86 and 115,604.54 is: 173,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,330.78 : 472,714.86 = 115,604.54 : x
  2. Step 2: Convert to fraction form
    315,330.78/472,714.86 = 115,604.54/x
  3. Step 3: Cross multiply
    315,330.78x = 472,714.86 × 115,604.54
  4. Step 4: Simplify right side
    315,330.78x = 54,647,981,577.89
  5. Step 5: Solve for x
    x = 54,647,981,577.89/315,330.78
  6. Step 6: Final answer
    x = 173,303.67

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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.