Home / 314,106.93-470,981.34-214,387.83

Finding the Fourth Proportional to 314,106.93, 470,981.34 and 214,387.83

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Solution

The fourth proportional to 314,106.93, 470,981.34 and 214,387.83 is: 321,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,106.93 : 470,981.34 = 214,387.83 : x
  2. Step 2: Convert to fraction form
    314,106.93/470,981.34 = 214,387.83/x
  3. Step 3: Cross multiply
    314,106.93x = 470,981.34 × 214,387.83
  4. Step 4: Simplify right side
    314,106.93x = 100,972,667,453.09
  5. Step 5: Solve for x
    x = 100,972,667,453.09/314,106.93
  6. Step 6: Final answer
    x = 321,459.53

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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.