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Finding the Fourth Proportional to 395,382.96, 545,633.01 and 214,099.02

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Solution

The fourth proportional to 395,382.96, 545,633.01 and 214,099.02 is: 295,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,382.96 : 545,633.01 = 214,099.02 : x
  2. Step 2: Convert to fraction form
    395,382.96/545,633.01 = 214,099.02/x
  3. Step 3: Cross multiply
    395,382.96x = 545,633.01 × 214,099.02
  4. Step 4: Simplify right side
    395,382.96x = 116,819,492,720.65
  5. Step 5: Solve for x
    x = 116,819,492,720.65/395,382.96
  6. Step 6: Final answer
    x = 295,459.10

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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.