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Finding the Fourth Proportional to 313,397.39, 470,129.49 and 100,090.77

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Solution

The fourth proportional to 313,397.39, 470,129.49 and 100,090.77 is: 150,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,397.39 : 470,129.49 = 100,090.77 : x
  2. Step 2: Convert to fraction form
    313,397.39/470,129.49 = 100,090.77/x
  3. Step 3: Cross multiply
    313,397.39x = 470,129.49 × 100,090.77
  4. Step 4: Simplify right side
    313,397.39x = 47,055,622,653.81
  5. Step 5: Solve for x
    x = 47,055,622,653.81/313,397.39
  6. Step 6: Final answer
    x = 150,146.83

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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.