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Finding the Fourth Proportional to 507,954.85, 700,999.85 and 303,966.97

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Solution

The fourth proportional to 507,954.85, 700,999.85 and 303,966.97 is: 419,487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,954.85 : 700,999.85 = 303,966.97 : x
  2. Step 2: Convert to fraction form
    507,954.85/700,999.85 = 303,966.97/x
  3. Step 3: Cross multiply
    507,954.85x = 700,999.85 × 303,966.97
  4. Step 4: Simplify right side
    507,954.85x = 213,080,799,382.37
  5. Step 5: Solve for x
    x = 213,080,799,382.37/507,954.85
  6. Step 6: Final answer
    x = 419,487.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.