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Finding the Fourth Proportional to 511,043.04, 705,252.42 and 284,693.40

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Solution

The fourth proportional to 511,043.04, 705,252.42 and 284,693.40 is: 392,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,043.04 : 705,252.42 = 284,693.40 : x
  2. Step 2: Convert to fraction form
    511,043.04/705,252.42 = 284,693.40/x
  3. Step 3: Cross multiply
    511,043.04x = 705,252.42 × 284,693.40
  4. Step 4: Simplify right side
    511,043.04x = 200,780,709,308.03
  5. Step 5: Solve for x
    x = 200,780,709,308.03/511,043.04
  6. Step 6: Final answer
    x = 392,884.15

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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.