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Finding the Fourth Proportional to 395,605.61, 545,935.10 and 214,322.14

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Solution

The fourth proportional to 395,605.61, 545,935.10 and 214,322.14 is: 295,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,605.61 : 545,935.10 = 214,322.14 : x
  2. Step 2: Convert to fraction form
    395,605.61/545,935.10 = 214,322.14/x
  3. Step 3: Cross multiply
    395,605.61x = 545,935.10 × 214,322.14
  4. Step 4: Simplify right side
    395,605.61x = 117,005,978,933.11
  5. Step 5: Solve for x
    x = 117,005,978,933.11/395,605.61
  6. Step 6: Final answer
    x = 295,764.21

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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.