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Finding the Fourth Proportional to 395,045.88, 545,159.22 and 213,753.81

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Solution

The fourth proportional to 395,045.88, 545,159.22 and 213,753.81 is: 294,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,045.88 : 545,159.22 = 213,753.81 : x
  2. Step 2: Convert to fraction form
    395,045.88/545,159.22 = 213,753.81/x
  3. Step 3: Cross multiply
    395,045.88x = 545,159.22 × 213,753.81
  4. Step 4: Simplify right side
    395,045.88x = 116,529,860,331.63
  5. Step 5: Solve for x
    x = 116,529,860,331.63/395,045.88
  6. Step 6: Final answer
    x = 294,978.04

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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.