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Finding the Fourth Proportional to 511,798.72, 706,283.46 and 285,458.80

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Solution

The fourth proportional to 511,798.72, 706,283.46 and 285,458.80 is: 393,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,798.72 : 706,283.46 = 285,458.80 : x
  2. Step 2: Convert to fraction form
    511,798.72/706,283.46 = 285,458.80/x
  3. Step 3: Cross multiply
    511,798.72x = 706,283.46 × 285,458.80
  4. Step 4: Simplify right side
    511,798.72x = 201,614,828,951.45
  5. Step 5: Solve for x
    x = 201,614,828,951.45/511,798.72
  6. Step 6: Final answer
    x = 393,933.83

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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.