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Finding the Fourth Proportional to 259,564.40, 389,346.60 and 257,814.80

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Solution

The fourth proportional to 259,564.40, 389,346.60 and 257,814.80 is: 386,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,564.40 : 389,346.60 = 257,814.80 : x
  2. Step 2: Convert to fraction form
    259,564.40/389,346.60 = 257,814.80/x
  3. Step 3: Cross multiply
    259,564.40x = 389,346.60 × 257,814.80
  4. Step 4: Simplify right side
    259,564.40x = 100,379,315,809.68
  5. Step 5: Solve for x
    x = 100,379,315,809.68/259,564.40
  6. Step 6: Final answer
    x = 386,722.20

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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.