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Finding the Fourth Proportional to 259,968.40, 389,369.40 and 213,312.40

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Solution

The fourth proportional to 259,968.40, 389,369.40 and 213,312.40 is: 319,490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,968.40 : 389,369.40 = 213,312.40 : x
  2. Step 2: Convert to fraction form
    259,968.40/389,369.40 = 213,312.40/x
  3. Step 3: Cross multiply
    259,968.40x = 389,369.40 × 213,312.40
  4. Step 4: Simplify right side
    259,968.40x = 83,057,321,200.56
  5. Step 5: Solve for x
    x = 83,057,321,200.56/259,968.40
  6. Step 6: Final answer
    x = 319,490.07

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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.