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Finding the Fourth Proportional to 538,967.49, 743,638.23 and 395,478.42

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Solution

The fourth proportional to 538,967.49, 743,638.23 and 395,478.42 is: 545,659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,967.49 : 743,638.23 = 395,478.42 : x
  2. Step 2: Convert to fraction form
    538,967.49/743,638.23 = 395,478.42/x
  3. Step 3: Cross multiply
    538,967.49x = 743,638.23 × 395,478.42
  4. Step 4: Simplify right side
    538,967.49x = 294,092,872,252.00
  5. Step 5: Solve for x
    x = 294,092,872,252.00/538,967.49
  6. Step 6: Final answer
    x = 545,659.76

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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.