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Finding the Fourth Proportional to 471,015.38, 649,667.01 and 289,488.98

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Solution

The fourth proportional to 471,015.38, 649,667.01 and 289,488.98 is: 399,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,015.38 : 649,667.01 = 289,488.98 : x
  2. Step 2: Convert to fraction form
    471,015.38/649,667.01 = 289,488.98/x
  3. Step 3: Cross multiply
    471,015.38x = 649,667.01 × 289,488.98
  4. Step 4: Simplify right side
    471,015.38x = 188,071,440,064.55
  5. Step 5: Solve for x
    x = 188,071,440,064.55/471,015.38
  6. Step 6: Final answer
    x = 399,289.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.