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Finding the Fourth Proportional to 303,380.50, 418,664.74 and 167,414.40

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Solution

The fourth proportional to 303,380.50, 418,664.74 and 167,414.40 is: 231,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,380.50 : 418,664.74 = 167,414.40 : x
  2. Step 2: Convert to fraction form
    303,380.50/418,664.74 = 167,414.40/x
  3. Step 3: Cross multiply
    303,380.50x = 418,664.74 × 167,414.40
  4. Step 4: Simplify right side
    303,380.50x = 70,090,506,248.26
  5. Step 5: Solve for x
    x = 70,090,506,248.26/303,380.50
  6. Step 6: Final answer
    x = 231,031.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.