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Finding the Fourth Proportional to 274,010.31, 377,888.49 and 228,222

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Solution

The fourth proportional to 274,010.31, 377,888.49 and 228,222 is: 314,741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,010.31 : 377,888.49 = 228,222 : x
  2. Step 2: Convert to fraction form
    274,010.31/377,888.49 = 228,222/x
  3. Step 3: Cross multiply
    274,010.31x = 377,888.49 × 228,222
  4. Step 4: Simplify right side
    274,010.31x = 86,242,466,964.78
  5. Step 5: Solve for x
    x = 86,242,466,964.78/274,010.31
  6. Step 6: Final answer
    x = 314,741.69

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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.