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Finding the Fourth Proportional to 438,046.20, 656,939.70 and 171,653.40

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Solution

The fourth proportional to 438,046.20, 656,939.70 and 171,653.40 is: 257,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,046.20 : 656,939.70 = 171,653.40 : x
  2. Step 2: Convert to fraction form
    438,046.20/656,939.70 = 171,653.40/x
  3. Step 3: Cross multiply
    438,046.20x = 656,939.70 × 171,653.40
  4. Step 4: Simplify right side
    438,046.20x = 112,765,933,099.98
  5. Step 5: Solve for x
    x = 112,765,933,099.98/438,046.20
  6. Step 6: Final answer
    x = 257,429.31

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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.