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Finding the Fourth Proportional to 357,257.17, 493,245.84 and 221,435.56

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Solution

The fourth proportional to 357,257.17, 493,245.84 and 221,435.56 is: 305,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,257.17 : 493,245.84 = 221,435.56 : x
  2. Step 2: Convert to fraction form
    357,257.17/493,245.84 = 221,435.56/x
  3. Step 3: Cross multiply
    357,257.17x = 493,245.84 × 221,435.56
  4. Step 4: Simplify right side
    357,257.17x = 109,222,168,798.07
  5. Step 5: Solve for x
    x = 109,222,168,798.07/357,257.17
  6. Step 6: Final answer
    x = 305,724.22

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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.