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Finding the Fourth Proportional to 287,370.83, 396,571.50 and 166,582.07

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Solution

The fourth proportional to 287,370.83, 396,571.50 and 166,582.07 is: 229,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,370.83 : 396,571.50 = 166,582.07 : x
  2. Step 2: Convert to fraction form
    287,370.83/396,571.50 = 166,582.07/x
  3. Step 3: Cross multiply
    287,370.83x = 396,571.50 × 166,582.07
  4. Step 4: Simplify right side
    287,370.83x = 66,061,699,390.15
  5. Step 5: Solve for x
    x = 66,061,699,390.15/287,370.83
  6. Step 6: Final answer
    x = 229,883.11

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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.