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Finding the Fourth Proportional to 313,978.97, 470,933.44 and 86,292.05

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Solution

The fourth proportional to 313,978.97, 470,933.44 and 86,292.05 is: 129,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,978.97 : 470,933.44 = 86,292.05 : x
  2. Step 2: Convert to fraction form
    313,978.97/470,933.44 = 86,292.05/x
  3. Step 3: Cross multiply
    313,978.97x = 470,933.44 × 86,292.05
  4. Step 4: Simplify right side
    313,978.97x = 40,637,809,380.75
  5. Step 5: Solve for x
    x = 40,637,809,380.75/313,978.97
  6. Step 6: Final answer
    x = 129,428.44

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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.