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Finding the Fourth Proportional to 380,601.06, 525,225 and 206,167.98

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Solution

The fourth proportional to 380,601.06, 525,225 and 206,167.98 is: 284,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,601.06 : 525,225 = 206,167.98 : x
  2. Step 2: Convert to fraction form
    380,601.06/525,225 = 206,167.98/x
  3. Step 3: Cross multiply
    380,601.06x = 525,225 × 206,167.98
  4. Step 4: Simplify right side
    380,601.06x = 108,284,577,295.50
  5. Step 5: Solve for x
    x = 108,284,577,295.50/380,601.06
  6. Step 6: Final answer
    x = 284,509.39

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1.5x scale

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.