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Finding the Fourth Proportional to 395,268.46, 545,470.63 and 213,980.38

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Solution

The fourth proportional to 395,268.46, 545,470.63 and 213,980.38 is: 295,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,268.46 : 545,470.63 = 213,980.38 : x
  2. Step 2: Convert to fraction form
    395,268.46/545,470.63 = 213,980.38/x
  3. Step 3: Cross multiply
    395,268.46x = 545,470.63 × 213,980.38
  4. Step 4: Simplify right side
    395,268.46x = 116,720,010,787.61
  5. Step 5: Solve for x
    x = 116,720,010,787.61/395,268.46
  6. Step 6: Final answer
    x = 295,293.01

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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.