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Finding the Fourth Proportional to 531,675.28, 797,279.64 and 199,018

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Solution

The fourth proportional to 531,675.28, 797,279.64 and 199,018 is: 298,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,675.28 : 797,279.64 = 199,018 : x
  2. Step 2: Convert to fraction form
    531,675.28/797,279.64 = 199,018/x
  3. Step 3: Cross multiply
    531,675.28x = 797,279.64 × 199,018
  4. Step 4: Simplify right side
    531,675.28x = 158,672,999,393.52
  5. Step 5: Solve for x
    x = 158,672,999,393.52/531,675.28
  6. Step 6: Final answer
    x = 298,439.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.