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Finding the Fourth Proportional to 441,957.40, 662,936.10 and 161,438.20

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Solution

The fourth proportional to 441,957.40, 662,936.10 and 161,438.20 is: 242,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,957.40 : 662,936.10 = 161,438.20 : x
  2. Step 2: Convert to fraction form
    441,957.40/662,936.10 = 161,438.20/x
  3. Step 3: Cross multiply
    441,957.40x = 662,936.10 × 161,438.20
  4. Step 4: Simplify right side
    441,957.40x = 107,023,210,699.02
  5. Step 5: Solve for x
    x = 107,023,210,699.02/441,957.40
  6. Step 6: Final answer
    x = 242,157.30

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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.