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Finding the Fourth Proportional to 254,903.70, 382,647.15 and 149,781.90

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Solution

The fourth proportional to 254,903.70, 382,647.15 and 149,781.90 is: 224,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,903.70 : 382,647.15 = 149,781.90 : x
  2. Step 2: Convert to fraction form
    254,903.70/382,647.15 = 149,781.90/x
  3. Step 3: Cross multiply
    254,903.70x = 382,647.15 × 149,781.90
  4. Step 4: Simplify right side
    254,903.70x = 57,313,617,156.59
  5. Step 5: Solve for x
    x = 57,313,617,156.59/254,903.70
  6. Step 6: Final answer
    x = 224,844.19

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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.