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Finding the Fourth Proportional to 289,318.45, 405,978.95 and 289,318.45

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Solution

The fourth proportional to 289,318.45, 405,978.95 and 289,318.45 is: 405,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,318.45 : 405,978.95 = 289,318.45 : x
  2. Step 2: Convert to fraction form
    289,318.45/405,978.95 = 289,318.45/x
  3. Step 3: Cross multiply
    289,318.45x = 405,978.95 × 289,318.45
  4. Step 4: Simplify right side
    289,318.45x = 117,457,200,546.63
  5. Step 5: Solve for x
    x = 117,457,200,546.63/289,318.45
  6. Step 6: Final answer
    x = 405,978.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.