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Finding the Fourth Proportional to 285,944.09, 428,919.21 and 86,266.22

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Solution

The fourth proportional to 285,944.09, 428,919.21 and 86,266.22 is: 129,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,944.09 : 428,919.21 = 86,266.22 : x
  2. Step 2: Convert to fraction form
    285,944.09/428,919.21 = 86,266.22/x
  3. Step 3: Cross multiply
    285,944.09x = 428,919.21 × 86,266.22
  4. Step 4: Simplify right side
    285,944.09x = 37,001,236,787.49
  5. Step 5: Solve for x
    x = 37,001,236,787.49/285,944.09
  6. Step 6: Final answer
    x = 129,400.25

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1.5x scale

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.