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Finding the Fourth Proportional to 287,405.45, 396,619.63 and 166,616.76

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Solution

The fourth proportional to 287,405.45, 396,619.63 and 166,616.76 is: 229,931.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,405.45 : 396,619.63 = 166,616.76 : x
  2. Step 2: Convert to fraction form
    287,405.45/396,619.63 = 166,616.76/x
  3. Step 3: Cross multiply
    287,405.45x = 396,619.63 × 166,616.76
  4. Step 4: Simplify right side
    287,405.45x = 66,083,477,703.00
  5. Step 5: Solve for x
    x = 66,083,477,703.00/287,405.45
  6. Step 6: Final answer
    x = 229,931.19

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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.