Home / 313,819.33-470,724.90-77,164.06

Finding the Fourth Proportional to 313,819.33, 470,724.90 and 77,164.06

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Solution

The fourth proportional to 313,819.33, 470,724.90 and 77,164.06 is: 115,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,819.33 : 470,724.90 = 77,164.06 : x
  2. Step 2: Convert to fraction form
    313,819.33/470,724.90 = 77,164.06/x
  3. Step 3: Cross multiply
    313,819.33x = 470,724.90 × 77,164.06
  4. Step 4: Simplify right side
    313,819.33x = 36,323,044,427.09
  5. Step 5: Solve for x
    x = 36,323,044,427.09/313,819.33
  6. Step 6: Final answer
    x = 115,745.08

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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.