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Finding the Fourth Proportional to 362,713.45, 500,504.82 and 209,728.49

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Solution

The fourth proportional to 362,713.45, 500,504.82 and 209,728.49 is: 289,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,713.45 : 500,504.82 = 209,728.49 : x
  2. Step 2: Convert to fraction form
    362,713.45/500,504.82 = 209,728.49/x
  3. Step 3: Cross multiply
    362,713.45x = 500,504.82 × 209,728.49
  4. Step 4: Simplify right side
    362,713.45x = 104,970,120,842.38
  5. Step 5: Solve for x
    x = 104,970,120,842.38/362,713.45
  6. Step 6: Final answer
    x = 289,402.34

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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.