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Finding the Fourth Proportional to 3,190,692.48, 4,786,971.84 and 946,888.80

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Solution

The fourth proportional to 3,190,692.48, 4,786,971.84 and 946,888.80 is: 1,420,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190,692.48 : 4,786,971.84 = 946,888.80 : x
  2. Step 2: Convert to fraction form
    3,190,692.48/4,786,971.84 = 946,888.80/x
  3. Step 3: Cross multiply
    3,190,692.48x = 4,786,971.84 × 946,888.80
  4. Step 4: Simplify right side
    3,190,692.48x = 4,532,730,021,211.39
  5. Step 5: Solve for x
    x = 4,532,730,021,211.39/3,190,692.48
  6. Step 6: Final answer
    x = 1,420,610.12

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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.