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Finding the Fourth Proportional to 667,435, 1,001,141.88 and 162,000.16

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Solution

The fourth proportional to 667,435, 1,001,141.88 and 162,000.16 is: 242,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,435 : 1,001,141.88 = 162,000.16 : x
  2. Step 2: Convert to fraction form
    667,435/1,001,141.88 = 162,000.16/x
  3. Step 3: Cross multiply
    667,435x = 1,001,141.88 × 162,000.16
  4. Step 4: Simplify right side
    667,435x = 162,185,144,742.70
  5. Step 5: Solve for x
    x = 162,185,144,742.70/667,435
  6. Step 6: Final answer
    x = 242,997.66

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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.