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Finding the Fourth Proportional to 261,022, 391,533 and 113,278

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Solution

The fourth proportional to 261,022, 391,533 and 113,278 is: 169,917

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,022 : 391,533 = 113,278 : x
  2. Step 2: Convert to fraction form
    261,022/391,533 = 113,278/x
  3. Step 3: Cross multiply
    261,022x = 391,533 × 113,278
  4. Step 4: Simplify right side
    261,022x = 44,352,075,174
  5. Step 5: Solve for x
    x = 44,352,075,174/261,022
  6. Step 6: Final answer
    x = 169,917

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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.