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Finding the Fourth Proportional to 511,194.56, 705,470.08 and 284,840

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Solution

The fourth proportional to 511,194.56, 705,470.08 and 284,840 is: 393,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,194.56 : 705,470.08 = 284,840 : x
  2. Step 2: Convert to fraction form
    511,194.56/705,470.08 = 284,840/x
  3. Step 3: Cross multiply
    511,194.56x = 705,470.08 × 284,840
  4. Step 4: Simplify right side
    511,194.56x = 200,946,097,587.20
  5. Step 5: Solve for x
    x = 200,946,097,587.20/511,194.56
  6. Step 6: Final answer
    x = 393,091.23

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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.