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Finding the Fourth Proportional to 313,473.96, 470,062.71 and 121,438.34

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Solution

The fourth proportional to 313,473.96, 470,062.71 and 121,438.34 is: 182,100.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,473.96 : 470,062.71 = 121,438.34 : x
  2. Step 2: Convert to fraction form
    313,473.96/470,062.71 = 121,438.34/x
  3. Step 3: Cross multiply
    313,473.96x = 470,062.71 × 121,438.34
  4. Step 4: Simplify right side
    313,473.96x = 57,083,632,847.99
  5. Step 5: Solve for x
    x = 57,083,632,847.99/313,473.96
  6. Step 6: Final answer
    x = 182,100.08

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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.