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Finding the Fourth Proportional to 285,877.63, 428,747.09 and 96,289.03

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Solution

The fourth proportional to 285,877.63, 428,747.09 and 96,289.03 is: 144,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,877.63 : 428,747.09 = 96,289.03 : x
  2. Step 2: Convert to fraction form
    285,877.63/428,747.09 = 96,289.03/x
  3. Step 3: Cross multiply
    285,877.63x = 428,747.09 × 96,289.03
  4. Step 4: Simplify right side
    285,877.63x = 41,283,639,858.11
  5. Step 5: Solve for x
    x = 41,283,639,858.11/285,877.63
  6. Step 6: Final answer
    x = 144,410.18

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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.