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Finding the Fourth Proportional to 290,401,408.80, 435,770,074.80 and 108,666,957.60

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Solution

The fourth proportional to 290,401,408.80, 435,770,074.80 and 108,666,957.60 is: 163,063,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,401,408.80 : 435,770,074.80 = 108,666,957.60 : x
  2. Step 2: Convert to fraction form
    290,401,408.80/435,770,074.80 = 108,666,957.60/x
  3. Step 3: Cross multiply
    290,401,408.80x = 435,770,074.80 × 108,666,957.60
  4. Step 4: Simplify right side
    290,401,408.80x = 47,353,808,241,640,424
  5. Step 5: Solve for x
    x = 47,353,808,241,640,424/290,401,408.80
  6. Step 6: Final answer
    x = 163,063,286.91

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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.