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Finding the Fourth Proportional to 299,841.84, 449,835.12 and 89,496.72

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Solution

The fourth proportional to 299,841.84, 449,835.12 and 89,496.72 is: 134,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,841.84 : 449,835.12 = 89,496.72 : x
  2. Step 2: Convert to fraction form
    299,841.84/449,835.12 = 89,496.72/x
  3. Step 3: Cross multiply
    299,841.84x = 449,835.12 × 89,496.72
  4. Step 4: Simplify right side
    299,841.84x = 40,258,767,780.81
  5. Step 5: Solve for x
    x = 40,258,767,780.81/299,841.84
  6. Step 6: Final answer
    x = 134,266.68

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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.