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Finding the Fourth Proportional to 315,085.86, 472,838.94 and 163,422.73

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Solution

The fourth proportional to 315,085.86, 472,838.94 and 163,422.73 is: 245,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,085.86 : 472,838.94 = 163,422.73 : x
  2. Step 2: Convert to fraction form
    315,085.86/472,838.94 = 163,422.73/x
  3. Step 3: Cross multiply
    315,085.86x = 472,838.94 × 163,422.73
  4. Step 4: Simplify right side
    315,085.86x = 77,272,631,016.15
  5. Step 5: Solve for x
    x = 77,272,631,016.15/315,085.86
  6. Step 6: Final answer
    x = 245,243.09

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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.