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Finding the Fourth Proportional to 511,490.32, 705,898.66 and 282,092.47

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Solution

The fourth proportional to 511,490.32, 705,898.66 and 282,092.47 is: 389,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,490.32 : 705,898.66 = 282,092.47 : x
  2. Step 2: Convert to fraction form
    511,490.32/705,898.66 = 282,092.47/x
  3. Step 3: Cross multiply
    511,490.32x = 705,898.66 × 282,092.47
  4. Step 4: Simplify right side
    511,490.32x = 199,128,695,951.60
  5. Step 5: Solve for x
    x = 199,128,695,951.60/511,490.32
  6. Step 6: Final answer
    x = 389,310.78

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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.