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Finding the Fourth Proportional to 421,045.97, 581,300.82 and 274,010.90

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Solution

The fourth proportional to 421,045.97, 581,300.82 and 274,010.90 is: 378,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,045.97 : 581,300.82 = 274,010.90 : x
  2. Step 2: Convert to fraction form
    421,045.97/581,300.82 = 274,010.90/x
  3. Step 3: Cross multiply
    421,045.97x = 581,300.82 × 274,010.90
  4. Step 4: Simplify right side
    421,045.97x = 159,282,757,952.43
  5. Step 5: Solve for x
    x = 159,282,757,952.43/421,045.97
  6. Step 6: Final answer
    x = 378,302.54

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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.