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Finding the Fourth Proportional to 377,083.88, 520,301.12 and 211,517.16

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Solution

The fourth proportional to 377,083.88, 520,301.12 and 211,517.16 is: 291,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,083.88 : 520,301.12 = 211,517.16 : x
  2. Step 2: Convert to fraction form
    377,083.88/520,301.12 = 211,517.16/x
  3. Step 3: Cross multiply
    377,083.88x = 520,301.12 × 211,517.16
  4. Step 4: Simplify right side
    377,083.88x = 110,052,615,247.22
  5. Step 5: Solve for x
    x = 110,052,615,247.22/377,083.88
  6. Step 6: Final answer
    x = 291,851.82

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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.