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Finding the Fourth Proportional to 287,923.20, 432,079.20 and 161,563.20

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Solution

The fourth proportional to 287,923.20, 432,079.20 and 161,563.20 is: 242,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,923.20 : 432,079.20 = 161,563.20 : x
  2. Step 2: Convert to fraction form
    287,923.20/432,079.20 = 161,563.20/x
  3. Step 3: Cross multiply
    287,923.20x = 432,079.20 × 161,563.20
  4. Step 4: Simplify right side
    287,923.20x = 69,808,098,205.44
  5. Step 5: Solve for x
    x = 69,808,098,205.44/287,923.20
  6. Step 6: Final answer
    x = 242,453.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.