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Finding the Fourth Proportional to 285,863.40, 428,857 and 86,167.08

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Solution

The fourth proportional to 285,863.40, 428,857 and 86,167.08 is: 129,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,863.40 : 428,857 = 86,167.08 : x
  2. Step 2: Convert to fraction form
    285,863.40/428,857 = 86,167.08/x
  3. Step 3: Cross multiply
    285,863.40x = 428,857 × 86,167.08
  4. Step 4: Simplify right side
    285,863.40x = 36,953,355,427.56
  5. Step 5: Solve for x
    x = 36,953,355,427.56/285,863.40
  6. Step 6: Final answer
    x = 129,269.28

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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.