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Finding the Fourth Proportional to 774,352, 1,161,571.74 and 275,716

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Solution

The fourth proportional to 774,352, 1,161,571.74 and 275,716 is: 413,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,352 : 1,161,571.74 = 275,716 : x
  2. Step 2: Convert to fraction form
    774,352/1,161,571.74 = 275,716/x
  3. Step 3: Cross multiply
    774,352x = 1,161,571.74 × 275,716
  4. Step 4: Simplify right side
    774,352x = 320,263,913,865.84
  5. Step 5: Solve for x
    x = 320,263,913,865.84/774,352
  6. Step 6: Final answer
    x = 413,589.57

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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.