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Finding the Fourth Proportional to 313,842.06, 470,879.73 and 145,443.06

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Solution

The fourth proportional to 313,842.06, 470,879.73 and 145,443.06 is: 218,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,842.06 : 470,879.73 = 145,443.06 : x
  2. Step 2: Convert to fraction form
    313,842.06/470,879.73 = 145,443.06/x
  3. Step 3: Cross multiply
    313,842.06x = 470,879.73 × 145,443.06
  4. Step 4: Simplify right side
    313,842.06x = 68,486,188,823.17
  5. Step 5: Solve for x
    x = 68,486,188,823.17/313,842.06
  6. Step 6: Final answer
    x = 218,218.64

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1.5x scale

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.