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Finding the Fourth Proportional to 305,090.50, 421,024.90 and 177,790.70

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Solution

The fourth proportional to 305,090.50, 421,024.90 and 177,790.70 is: 245,351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,090.50 : 421,024.90 = 177,790.70 : x
  2. Step 2: Convert to fraction form
    305,090.50/421,024.90 = 177,790.70/x
  3. Step 3: Cross multiply
    305,090.50x = 421,024.90 × 177,790.70
  4. Step 4: Simplify right side
    305,090.50x = 74,854,311,688.43
  5. Step 5: Solve for x
    x = 74,854,311,688.43/305,090.50
  6. Step 6: Final answer
    x = 245,351.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.