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Finding the Fourth Proportional to 515,886.24, 711,888.31 and 286,431.66

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Solution

The fourth proportional to 515,886.24, 711,888.31 and 286,431.66 is: 395,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,886.24 : 711,888.31 = 286,431.66 : x
  2. Step 2: Convert to fraction form
    515,886.24/711,888.31 = 286,431.66/x
  3. Step 3: Cross multiply
    515,886.24x = 711,888.31 × 286,431.66
  4. Step 4: Simplify right side
    515,886.24x = 203,907,350,367.90
  5. Step 5: Solve for x
    x = 203,907,350,367.90/515,886.24
  6. Step 6: Final answer
    x = 395,256.42

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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.