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Finding the Fourth Proportional to 538,728.57, 743,456.69 and 297,021.33

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Solution

The fourth proportional to 538,728.57, 743,456.69 and 297,021.33 is: 409,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,728.57 : 743,456.69 = 297,021.33 : x
  2. Step 2: Convert to fraction form
    538,728.57/743,456.69 = 297,021.33/x
  3. Step 3: Cross multiply
    538,728.57x = 743,456.69 × 297,021.33
  4. Step 4: Simplify right side
    538,728.57x = 220,822,494,861.20
  5. Step 5: Solve for x
    x = 220,822,494,861.20/538,728.57
  6. Step 6: Final answer
    x = 409,895.65

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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.