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Finding the Fourth Proportional to 298,729.84, 448,171.14 and 99,105.88

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Solution

The fourth proportional to 298,729.84, 448,171.14 and 99,105.88 is: 148,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,729.84 : 448,171.14 = 99,105.88 : x
  2. Step 2: Convert to fraction form
    298,729.84/448,171.14 = 99,105.88/x
  3. Step 3: Cross multiply
    298,729.84x = 448,171.14 × 99,105.88
  4. Step 4: Simplify right side
    298,729.84x = 44,416,395,220.30
  5. Step 5: Solve for x
    x = 44,416,395,220.30/298,729.84
  6. Step 6: Final answer
    x = 148,684.16

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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.