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Finding the Fourth Proportional to 313,324.78, 470,064.90 and 91,708.78

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Solution

The fourth proportional to 313,324.78, 470,064.90 and 91,708.78 is: 137,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,324.78 : 470,064.90 = 91,708.78 : x
  2. Step 2: Convert to fraction form
    313,324.78/470,064.90 = 91,708.78/x
  3. Step 3: Cross multiply
    313,324.78x = 470,064.90 × 91,708.78
  4. Step 4: Simplify right side
    313,324.78x = 43,109,078,499.82
  5. Step 5: Solve for x
    x = 43,109,078,499.82/313,324.78
  6. Step 6: Final answer
    x = 137,585.92

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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.