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Finding the Fourth Proportional to 313,398.90, 470,131.74 and 100,092.27

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Solution

The fourth proportional to 313,398.90, 470,131.74 and 100,092.27 is: 150,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,398.90 : 470,131.74 = 100,092.27 : x
  2. Step 2: Convert to fraction form
    313,398.90/470,131.74 = 100,092.27/x
  3. Step 3: Cross multiply
    313,398.90x = 470,131.74 × 100,092.27
  4. Step 4: Simplify right side
    313,398.90x = 47,056,553,055.65
  5. Step 5: Solve for x
    x = 47,056,553,055.65/313,398.90
  6. Step 6: Final answer
    x = 150,149.07

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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.