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Finding the Fourth Proportional to 287,562.86, 396,838.31 and 166,775.76

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Solution

The fourth proportional to 287,562.86, 396,838.31 and 166,775.76 is: 230,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,562.86 : 396,838.31 = 166,775.76 : x
  2. Step 2: Convert to fraction form
    287,562.86/396,838.31 = 166,775.76/x
  3. Step 3: Cross multiply
    287,562.86x = 396,838.31 × 166,775.76
  4. Step 4: Simplify right side
    287,562.86x = 66,183,010,747.37
  5. Step 5: Solve for x
    x = 66,183,010,747.37/287,562.86
  6. Step 6: Final answer
    x = 230,151.46

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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.