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Finding the Fourth Proportional to 312,898.65, 469,069.58 and 113,174.61

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Solution

The fourth proportional to 312,898.65, 469,069.58 and 113,174.61 is: 169,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,898.65 : 469,069.58 = 113,174.61 : x
  2. Step 2: Convert to fraction form
    312,898.65/469,069.58 = 113,174.61/x
  3. Step 3: Cross multiply
    312,898.65x = 469,069.58 × 113,174.61
  4. Step 4: Simplify right side
    312,898.65x = 53,086,763,868.14
  5. Step 5: Solve for x
    x = 53,086,763,868.14/312,898.65
  6. Step 6: Final answer
    x = 169,661.21

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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.