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Finding the Fourth Proportional to 395,643.54, 545,988.15 and 214,356.72

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Solution

The fourth proportional to 395,643.54, 545,988.15 and 214,356.72 is: 295,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,643.54 : 545,988.15 = 214,356.72 : x
  2. Step 2: Convert to fraction form
    395,643.54/545,988.15 = 214,356.72/x
  3. Step 3: Cross multiply
    395,643.54x = 545,988.15 × 214,356.72
  4. Step 4: Simplify right side
    395,643.54x = 117,036,228,992.87
  5. Step 5: Solve for x
    x = 117,036,228,992.87/395,643.54
  6. Step 6: Final answer
    x = 295,812.31

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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.