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Finding the Fourth Proportional to 320,755.91, 480,993.74 and 152,324.51

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Solution

The fourth proportional to 320,755.91, 480,993.74 and 152,324.51 is: 228,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,755.91 : 480,993.74 = 152,324.51 : x
  2. Step 2: Convert to fraction form
    320,755.91/480,993.74 = 152,324.51/x
  3. Step 3: Cross multiply
    320,755.91x = 480,993.74 × 152,324.51
  4. Step 4: Simplify right side
    320,755.91x = 73,267,134,996.94
  5. Step 5: Solve for x
    x = 73,267,134,996.94/320,755.91
  6. Step 6: Final answer
    x = 228,420.22

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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.