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Finding the Fourth Proportional to 427,369.77, 641,200.96 and 161,206.40

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Solution

The fourth proportional to 427,369.77, 641,200.96 and 161,206.40 is: 241,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,369.77 : 641,200.96 = 161,206.40 : x
  2. Step 2: Convert to fraction form
    427,369.77/641,200.96 = 161,206.40/x
  3. Step 3: Cross multiply
    427,369.77x = 641,200.96 × 161,206.40
  4. Step 4: Simplify right side
    427,369.77x = 103,365,700,242.65
  5. Step 5: Solve for x
    x = 103,365,700,242.65/427,369.77
  6. Step 6: Final answer
    x = 241,864.79

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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.