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Finding the Fourth Proportional to 395,098.49, 545,235.88 and 213,810.41

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Solution

The fourth proportional to 395,098.49, 545,235.88 and 213,810.41 is: 295,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,098.49 : 545,235.88 = 213,810.41 : x
  2. Step 2: Convert to fraction form
    395,098.49/545,235.88 = 213,810.41/x
  3. Step 3: Cross multiply
    395,098.49x = 545,235.88 × 213,810.41
  4. Step 4: Simplify right side
    395,098.49x = 116,577,107,049.51
  5. Step 5: Solve for x
    x = 116,577,107,049.51/395,098.49
  6. Step 6: Final answer
    x = 295,058.35

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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.