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Finding the Fourth Proportional to 310,115.58, 428,006.34 and 189,327.30

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Solution

The fourth proportional to 310,115.58, 428,006.34 and 189,327.30 is: 261,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,115.58 : 428,006.34 = 189,327.30 : x
  2. Step 2: Convert to fraction form
    310,115.58/428,006.34 = 189,327.30/x
  3. Step 3: Cross multiply
    310,115.58x = 428,006.34 × 189,327.30
  4. Step 4: Simplify right side
    310,115.58x = 81,033,284,735.08
  5. Step 5: Solve for x
    x = 81,033,284,735.08/310,115.58
  6. Step 6: Final answer
    x = 261,300.27

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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.