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Finding the Fourth Proportional to 490,163.76, 676,437.48 and 275,319.36

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Solution

The fourth proportional to 490,163.76, 676,437.48 and 275,319.36 is: 379,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,163.76 : 676,437.48 = 275,319.36 : x
  2. Step 2: Convert to fraction form
    490,163.76/676,437.48 = 275,319.36/x
  3. Step 3: Cross multiply
    490,163.76x = 676,437.48 × 275,319.36
  4. Step 4: Simplify right side
    490,163.76x = 186,236,334,073.61
  5. Step 5: Solve for x
    x = 186,236,334,073.61/490,163.76
  6. Step 6: Final answer
    x = 379,947.17

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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.