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Finding the Fourth Proportional to 289,715.55, 435,065.40 and 214,920.15

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Solution

The fourth proportional to 289,715.55, 435,065.40 and 214,920.15 is: 322,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,715.55 : 435,065.40 = 214,920.15 : x
  2. Step 2: Convert to fraction form
    289,715.55/435,065.40 = 214,920.15/x
  3. Step 3: Cross multiply
    289,715.55x = 435,065.40 × 214,920.15
  4. Step 4: Simplify right side
    289,715.55x = 93,504,321,027.81
  5. Step 5: Solve for x
    x = 93,504,321,027.81/289,715.55
  6. Step 6: Final answer
    x = 322,745.26

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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.