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Finding the Fourth Proportional to 326,802.75, 490,204.13 and 105,186.75

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Solution

The fourth proportional to 326,802.75, 490,204.13 and 105,186.75 is: 157,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,802.75 : 490,204.13 = 105,186.75 : x
  2. Step 2: Convert to fraction form
    326,802.75/490,204.13 = 105,186.75/x
  3. Step 3: Cross multiply
    326,802.75x = 490,204.13 × 105,186.75
  4. Step 4: Simplify right side
    326,802.75x = 51,562,978,745.34
  5. Step 5: Solve for x
    x = 51,562,978,745.34/326,802.75
  6. Step 6: Final answer
    x = 157,780.13

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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.