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Finding the Fourth Proportional to 511,004.34, 705,269.97 and 284,722.74

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Solution

The fourth proportional to 511,004.34, 705,269.97 and 284,722.74 is: 392,964.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,004.34 : 705,269.97 = 284,722.74 : x
  2. Step 2: Convert to fraction form
    511,004.34/705,269.97 = 284,722.74/x
  3. Step 3: Cross multiply
    511,004.34x = 705,269.97 × 284,722.74
  4. Step 4: Simplify right side
    511,004.34x = 200,806,398,298.12
  5. Step 5: Solve for x
    x = 200,806,398,298.12/511,004.34
  6. Step 6: Final answer
    x = 392,964.17

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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.