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Finding the Fourth Proportional to 347,048, 478,926.24 and 188,072

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Solution

The fourth proportional to 347,048, 478,926.24 and 188,072 is: 259,539.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,048 : 478,926.24 = 188,072 : x
  2. Step 2: Convert to fraction form
    347,048/478,926.24 = 188,072/x
  3. Step 3: Cross multiply
    347,048x = 478,926.24 × 188,072
  4. Step 4: Simplify right side
    347,048x = 90,072,615,809.28
  5. Step 5: Solve for x
    x = 90,072,615,809.28/347,048
  6. Step 6: Final answer
    x = 259,539.36

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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.