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Finding the Fourth Proportional to 254,401.92, 380,877.12 and 201,888

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Solution

The fourth proportional to 254,401.92, 380,877.12 and 201,888 is: 302,256.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,401.92 : 380,877.12 = 201,888 : x
  2. Step 2: Convert to fraction form
    254,401.92/380,877.12 = 201,888/x
  3. Step 3: Cross multiply
    254,401.92x = 380,877.12 × 201,888
  4. Step 4: Simplify right side
    254,401.92x = 76,894,520,002.56
  5. Step 5: Solve for x
    x = 76,894,520,002.56/254,401.92
  6. Step 6: Final answer
    x = 302,256.05

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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.