Home / 305,914,338,571.74-422,163,099,695.06-166,868,650,443.05

Finding the Fourth Proportional to 305,914,338,571.74, 422,163,099,695.06 and 166,868,650,443.05

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Solution

The fourth proportional to 305,914,338,571.74, 422,163,099,695.06 and 166,868,650,443.05 is: 230,279,453,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,914,338,571.74 : 422,163,099,695.06 = 166,868,650,443.05 : x
  2. Step 2: Convert to fraction form
    305,914,338,571.74/422,163,099,695.06 = 166,868,650,443.05/x
  3. Step 3: Cross multiply
    305,914,338,571.74x = 422,163,099,695.06 × 166,868,650,443.05
  4. Step 4: Simplify right side
    305,914,338,571.74x = 70,445,786,712,969,427,550,208
  5. Step 5: Solve for x
    x = 70,445,786,712,969,427,550,208/305,914,338,571.74
  6. Step 6: Final answer
    x = 230,279,453,528.95

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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.