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Finding the Fourth Proportional to 254,644.40, 382,024.20 and 149,409.20

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Solution

The fourth proportional to 254,644.40, 382,024.20 and 149,409.20 is: 224,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,644.40 : 382,024.20 = 149,409.20 : x
  2. Step 2: Convert to fraction form
    254,644.40/382,024.20 = 149,409.20/x
  3. Step 3: Cross multiply
    254,644.40x = 382,024.20 × 149,409.20
  4. Step 4: Simplify right side
    254,644.40x = 57,077,930,102.64
  5. Step 5: Solve for x
    x = 57,077,930,102.64/254,644.40
  6. Step 6: Final answer
    x = 224,147.60

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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.