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Finding the Fourth Proportional to 254,647.80, 381,971.70 and 147,922.20

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Solution

The fourth proportional to 254,647.80, 381,971.70 and 147,922.20 is: 221,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,647.80 : 381,971.70 = 147,922.20 : x
  2. Step 2: Convert to fraction form
    254,647.80/381,971.70 = 147,922.20/x
  3. Step 3: Cross multiply
    254,647.80x = 381,971.70 × 147,922.20
  4. Step 4: Simplify right side
    254,647.80x = 56,502,094,201.74
  5. Step 5: Solve for x
    x = 56,502,094,201.74/254,647.80
  6. Step 6: Final answer
    x = 221,883.30

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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.