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Finding the Fourth Proportional to 259,416.40, 389,076.60 and 72,389.20

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Solution

The fourth proportional to 259,416.40, 389,076.60 and 72,389.20 is: 108,570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,416.40 : 389,076.60 = 72,389.20 : x
  2. Step 2: Convert to fraction form
    259,416.40/389,076.60 = 72,389.20/x
  3. Step 3: Cross multiply
    259,416.40x = 389,076.60 × 72,389.20
  4. Step 4: Simplify right side
    259,416.40x = 28,164,943,812.72
  5. Step 5: Solve for x
    x = 28,164,943,812.72/259,416.40
  6. Step 6: Final answer
    x = 108,570.41

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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.