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Finding the Fourth Proportional to 299,096.70, 448,729.82 and 121,731

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Solution

The fourth proportional to 299,096.70, 448,729.82 and 121,731 is: 182,631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,096.70 : 448,729.82 = 121,731 : x
  2. Step 2: Convert to fraction form
    299,096.70/448,729.82 = 121,731/x
  3. Step 3: Cross multiply
    299,096.70x = 448,729.82 × 121,731
  4. Step 4: Simplify right side
    299,096.70x = 54,624,329,718.42
  5. Step 5: Solve for x
    x = 54,624,329,718.42/299,096.70
  6. Step 6: Final answer
    x = 182,631.00

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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.