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Finding the Fourth Proportional to 285,973.72, 428,963.78 and 86,296

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Solution

The fourth proportional to 285,973.72, 428,963.78 and 86,296 is: 129,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,973.72 : 428,963.78 = 86,296 : x
  2. Step 2: Convert to fraction form
    285,973.72/428,963.78 = 86,296/x
  3. Step 3: Cross multiply
    285,973.72x = 428,963.78 × 86,296
  4. Step 4: Simplify right side
    285,973.72x = 37,017,858,358.88
  5. Step 5: Solve for x
    x = 37,017,858,358.88/285,973.72
  6. Step 6: Final answer
    x = 129,444.97

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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.