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Finding the Fourth Proportional to 357,405.84, 493,200.72 and 196,282.08

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Solution

The fourth proportional to 357,405.84, 493,200.72 and 196,282.08 is: 270,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,405.84 : 493,200.72 = 196,282.08 : x
  2. Step 2: Convert to fraction form
    357,405.84/493,200.72 = 196,282.08/x
  3. Step 3: Cross multiply
    357,405.84x = 493,200.72 × 196,282.08
  4. Step 4: Simplify right side
    357,405.84x = 96,806,463,179.10
  5. Step 5: Solve for x
    x = 96,806,463,179.10/357,405.84
  6. Step 6: Final answer
    x = 270,858.65

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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.