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Finding the Fourth Proportional to 442,037.80, 663,056.70 and 161,756.20

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Solution

The fourth proportional to 442,037.80, 663,056.70 and 161,756.20 is: 242,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,037.80 : 663,056.70 = 161,756.20 : x
  2. Step 2: Convert to fraction form
    442,037.80/663,056.70 = 161,756.20/x
  3. Step 3: Cross multiply
    442,037.80x = 663,056.70 × 161,756.20
  4. Step 4: Simplify right side
    442,037.80x = 107,253,532,176.54
  5. Step 5: Solve for x
    x = 107,253,532,176.54/442,037.80
  6. Step 6: Final answer
    x = 242,634.30

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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.