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Finding the Fourth Proportional to 310,269.92, 428,198.28 and 182,970.32

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Solution

The fourth proportional to 310,269.92, 428,198.28 and 182,970.32 is: 252,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,269.92 : 428,198.28 = 182,970.32 : x
  2. Step 2: Convert to fraction form
    310,269.92/428,198.28 = 182,970.32/x
  3. Step 3: Cross multiply
    310,269.92x = 428,198.28 × 182,970.32
  4. Step 4: Simplify right side
    310,269.92x = 78,347,576,315.05
  5. Step 5: Solve for x
    x = 78,347,576,315.05/310,269.92
  6. Step 6: Final answer
    x = 252,514.25

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1.5x scale

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.