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Finding the Fourth Proportional to 257,055.21, 384,912.14 and 206,861.13

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Solution

The fourth proportional to 257,055.21, 384,912.14 and 206,861.13 is: 309,751.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,055.21 : 384,912.14 = 206,861.13 : x
  2. Step 2: Convert to fraction form
    257,055.21/384,912.14 = 206,861.13/x
  3. Step 3: Cross multiply
    257,055.21x = 384,912.14 × 206,861.13
  4. Step 4: Simplify right side
    257,055.21x = 79,623,359,196.81
  5. Step 5: Solve for x
    x = 79,623,359,196.81/257,055.21
  6. Step 6: Final answer
    x = 309,751.98

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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.