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Finding the Fourth Proportional to 315,494.82, 473,243.46 and 78,837.75

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Solution

The fourth proportional to 315,494.82, 473,243.46 and 78,837.75 is: 118,256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,494.82 : 473,243.46 = 78,837.75 : x
  2. Step 2: Convert to fraction form
    315,494.82/473,243.46 = 78,837.75/x
  3. Step 3: Cross multiply
    315,494.82x = 473,243.46 × 78,837.75
  4. Step 4: Simplify right side
    315,494.82x = 37,309,449,588.62
  5. Step 5: Solve for x
    x = 37,309,449,588.62/315,494.82
  6. Step 6: Final answer
    x = 118,256.93

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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.