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Finding the Fourth Proportional to 661,743, 991,035 and 380,669.76

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Solution

The fourth proportional to 661,743, 991,035 and 380,669.76 is: 570,096.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,743 : 991,035 = 380,669.76 : x
  2. Step 2: Convert to fraction form
    661,743/991,035 = 380,669.76/x
  3. Step 3: Cross multiply
    661,743x = 991,035 × 380,669.76
  4. Step 4: Simplify right side
    661,743x = 377,257,055,601.60
  5. Step 5: Solve for x
    x = 377,257,055,601.60/661,743
  6. Step 6: Final answer
    x = 570,096.03

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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.