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Finding the Fourth Proportional to 357,381.45, 493,230.84 and 204,398.40

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Solution

The fourth proportional to 357,381.45, 493,230.84 and 204,398.40 is: 282,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,381.45 : 493,230.84 = 204,398.40 : x
  2. Step 2: Convert to fraction form
    357,381.45/493,230.84 = 204,398.40/x
  3. Step 3: Cross multiply
    357,381.45x = 493,230.84 × 204,398.40
  4. Step 4: Simplify right side
    357,381.45x = 100,815,595,609.78
  5. Step 5: Solve for x
    x = 100,815,595,609.78/357,381.45
  6. Step 6: Final answer
    x = 282,095.21

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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.