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Finding the Fourth Proportional to 299,106.20, 448,003.20 and 259,740.20

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Solution

The fourth proportional to 299,106.20, 448,003.20 and 259,740.20 is: 389,040.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,106.20 : 448,003.20 = 259,740.20 : x
  2. Step 2: Convert to fraction form
    299,106.20/448,003.20 = 259,740.20/x
  3. Step 3: Cross multiply
    299,106.20x = 448,003.20 × 259,740.20
  4. Step 4: Simplify right side
    299,106.20x = 116,364,440,768.64
  5. Step 5: Solve for x
    x = 116,364,440,768.64/299,106.20
  6. Step 6: Final answer
    x = 389,040.55

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1.5x scale

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.