Home / 305,914,337,959.30-422,163,098,850.08-166,868,649,830.86

Finding the Fourth Proportional to 305,914,337,959.30, 422,163,098,850.08 and 166,868,649,830.86

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Solution

The fourth proportional to 305,914,337,959.30, 422,163,098,850.08 and 166,868,649,830.86 is: 230,279,452,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,914,337,959.30 : 422,163,098,850.08 = 166,868,649,830.86 : x
  2. Step 2: Convert to fraction form
    305,914,337,959.30/422,163,098,850.08 = 166,868,649,830.86/x
  3. Step 3: Cross multiply
    305,914,337,959.30x = 422,163,098,850.08 × 166,868,649,830.86
  4. Step 4: Simplify right side
    305,914,337,959.30x = 70,445,786,313,524,735,115,264
  5. Step 5: Solve for x
    x = 70,445,786,313,524,735,115,264/305,914,337,959.30
  6. Step 6: Final answer
    x = 230,279,452,684.23

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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.