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Finding the Fourth Proportional to 287,412.80, 396,629.75 and 166,624.11

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Solution

The fourth proportional to 287,412.80, 396,629.75 and 166,624.11 is: 229,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,412.80 : 396,629.75 = 166,624.11 : x
  2. Step 2: Convert to fraction form
    287,412.80/396,629.75 = 166,624.11/x
  3. Step 3: Cross multiply
    287,412.80x = 396,629.75 × 166,624.11
  4. Step 4: Simplify right side
    287,412.80x = 66,088,078,260.15
  5. Step 5: Solve for x
    x = 66,088,078,260.15/287,412.80
  6. Step 6: Final answer
    x = 229,941.32

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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.