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Finding the Fourth Proportional to 380,524.70, 525,477.08 and 284,865.32

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Solution

The fourth proportional to 380,524.70, 525,477.08 and 284,865.32 is: 393,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,524.70 : 525,477.08 = 284,865.32 : x
  2. Step 2: Convert to fraction form
    380,524.70/525,477.08 = 284,865.32/x
  3. Step 3: Cross multiply
    380,524.70x = 525,477.08 × 284,865.32
  4. Step 4: Simplify right side
    380,524.70x = 149,690,198,572.72
  5. Step 5: Solve for x
    x = 149,690,198,572.72/380,524.70
  6. Step 6: Final answer
    x = 393,378.40

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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.