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Finding the Fourth Proportional to 421,380.66, 581,505.31 and 230,394.05

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Solution

The fourth proportional to 421,380.66, 581,505.31 and 230,394.05 is: 317,943.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,380.66 : 581,505.31 = 230,394.05 : x
  2. Step 2: Convert to fraction form
    421,380.66/581,505.31 = 230,394.05/x
  3. Step 3: Cross multiply
    421,380.66x = 581,505.31 × 230,394.05
  4. Step 4: Simplify right side
    421,380.66x = 133,975,362,164.54
  5. Step 5: Solve for x
    x = 133,975,362,164.54/421,380.66
  6. Step 6: Final answer
    x = 317,943.79

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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.