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Finding the Fourth Proportional to 485,971.32, 728,963.46 and 170,437.44

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Solution

The fourth proportional to 485,971.32, 728,963.46 and 170,437.44 is: 255,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,971.32 : 728,963.46 = 170,437.44 : x
  2. Step 2: Convert to fraction form
    485,971.32/728,963.46 = 170,437.44/x
  3. Step 3: Cross multiply
    485,971.32x = 728,963.46 × 170,437.44
  4. Step 4: Simplify right side
    485,971.32x = 124,242,665,975.94
  5. Step 5: Solve for x
    x = 124,242,665,975.94/485,971.32
  6. Step 6: Final answer
    x = 255,658.43

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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.