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Finding the Fourth Proportional to 299,462.35, 449,428.29 and 208,916.23

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Solution

The fourth proportional to 299,462.35, 449,428.29 and 208,916.23 is: 313,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,462.35 : 449,428.29 = 208,916.23 : x
  2. Step 2: Convert to fraction form
    299,462.35/449,428.29 = 208,916.23/x
  3. Step 3: Cross multiply
    299,462.35x = 449,428.29 × 208,916.23
  4. Step 4: Simplify right side
    299,462.35x = 93,892,864,002.15
  5. Step 5: Solve for x
    x = 93,892,864,002.15/299,462.35
  6. Step 6: Final answer
    x = 313,538.13

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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.