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Finding the Fourth Proportional to 316,063.47, 436,164.78 and 172,824.54

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Solution

The fourth proportional to 316,063.47, 436,164.78 and 172,824.54 is: 238,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,063.47 : 436,164.78 = 172,824.54 : x
  2. Step 2: Convert to fraction form
    316,063.47/436,164.78 = 172,824.54/x
  3. Step 3: Cross multiply
    316,063.47x = 436,164.78 × 172,824.54
  4. Step 4: Simplify right side
    316,063.47x = 75,379,977,467.70
  5. Step 5: Solve for x
    x = 75,379,977,467.70/316,063.47
  6. Step 6: Final answer
    x = 238,496.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.