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Finding the Fourth Proportional to 287,563.60, 396,839.36 and 166,776.51

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Solution

The fourth proportional to 287,563.60, 396,839.36 and 166,776.51 is: 230,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,563.60 : 396,839.36 = 166,776.51 : x
  2. Step 2: Convert to fraction form
    287,563.60/396,839.36 = 166,776.51/x
  3. Step 3: Cross multiply
    287,563.60x = 396,839.36 × 166,776.51
  4. Step 4: Simplify right side
    287,563.60x = 66,183,483,491.43
  5. Step 5: Solve for x
    x = 66,183,483,491.43/287,563.60
  6. Step 6: Final answer
    x = 230,152.51

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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.