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Finding the Fourth Proportional to 380,522.45, 525,473.98 and 284,863.07

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Solution

The fourth proportional to 380,522.45, 525,473.98 and 284,863.07 is: 393,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,522.45 : 525,473.98 = 284,863.07 : x
  2. Step 2: Convert to fraction form
    380,522.45/525,473.98 = 284,863.07/x
  3. Step 3: Cross multiply
    380,522.45x = 525,473.98 × 284,863.07
  4. Step 4: Simplify right side
    380,522.45x = 149,688,131,749.45
  5. Step 5: Solve for x
    x = 149,688,131,749.45/380,522.45
  6. Step 6: Final answer
    x = 393,375.29

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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.