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Finding the Fourth Proportional to 515,699.52, 711,654.30 and 286,243.44

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Solution

The fourth proportional to 515,699.52, 711,654.30 and 286,243.44 is: 395,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,699.52 : 711,654.30 = 286,243.44 : x
  2. Step 2: Convert to fraction form
    515,699.52/711,654.30 = 286,243.44/x
  3. Step 3: Cross multiply
    515,699.52x = 711,654.30 × 286,243.44
  4. Step 4: Simplify right side
    515,699.52x = 203,706,374,922.79
  5. Step 5: Solve for x
    x = 203,706,374,922.79/515,699.52
  6. Step 6: Final answer
    x = 395,009.82

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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.