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Finding the Fourth Proportional to 380,884.40, 571,096.92 and 201,113

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Solution

The fourth proportional to 380,884.40, 571,096.92 and 201,113 is: 301,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,884.40 : 571,096.92 = 201,113 : x
  2. Step 2: Convert to fraction form
    380,884.40/571,096.92 = 201,113/x
  3. Step 3: Cross multiply
    380,884.40x = 571,096.92 × 201,113
  4. Step 4: Simplify right side
    380,884.40x = 114,855,014,871.96
  5. Step 5: Solve for x
    x = 114,855,014,871.96/380,884.40
  6. Step 6: Final answer
    x = 301,548.23

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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.