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Finding the Fourth Proportional to 285,705.63, 428,554.80 and 96,207.75

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Solution

The fourth proportional to 285,705.63, 428,554.80 and 96,207.75 is: 144,310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,705.63 : 428,554.80 = 96,207.75 : x
  2. Step 2: Convert to fraction form
    285,705.63/428,554.80 = 96,207.75/x
  3. Step 3: Cross multiply
    285,705.63x = 428,554.80 × 96,207.75
  4. Step 4: Simplify right side
    285,705.63x = 41,230,293,059.70
  5. Step 5: Solve for x
    x = 41,230,293,059.70/285,705.63
  6. Step 6: Final answer
    x = 144,310.40

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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.