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Finding the Fourth Proportional to 511,843.52, 706,346.50 and 282,400.80

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Solution

The fourth proportional to 511,843.52, 706,346.50 and 282,400.80 is: 389,714.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,843.52 : 706,346.50 = 282,400.80 : x
  2. Step 2: Convert to fraction form
    511,843.52/706,346.50 = 282,400.80/x
  3. Step 3: Cross multiply
    511,843.52x = 706,346.50 × 282,400.80
  4. Step 4: Simplify right side
    511,843.52x = 199,472,816,677.20
  5. Step 5: Solve for x
    x = 199,472,816,677.20/511,843.52
  6. Step 6: Final answer
    x = 389,714.45

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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.