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Finding the Fourth Proportional to 306,878.90, 459,748.11 and 166,755.38

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Solution

The fourth proportional to 306,878.90, 459,748.11 and 166,755.38 is: 249,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,878.90 : 459,748.11 = 166,755.38 : x
  2. Step 2: Convert to fraction form
    306,878.90/459,748.11 = 166,755.38/x
  3. Step 3: Cross multiply
    306,878.90x = 459,748.11 × 166,755.38
  4. Step 4: Simplify right side
    306,878.90x = 76,665,470,787.33
  5. Step 5: Solve for x
    x = 76,665,470,787.33/306,878.90
  6. Step 6: Final answer
    x = 249,823.21

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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.