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Finding the Fourth Proportional to 254,809.20, 382,505.40 and 149,687.40

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Solution

The fourth proportional to 254,809.20, 382,505.40 and 149,687.40 is: 224,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,809.20 : 382,505.40 = 149,687.40 : x
  2. Step 2: Convert to fraction form
    254,809.20/382,505.40 = 149,687.40/x
  3. Step 3: Cross multiply
    254,809.20x = 382,505.40 × 149,687.40
  4. Step 4: Simplify right side
    254,809.20x = 57,256,238,811.96
  5. Step 5: Solve for x
    x = 57,256,238,811.96/254,809.20
  6. Step 6: Final answer
    x = 224,702.40

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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.