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Finding the Fourth Proportional to 342,755.82, 473,905.96 and 300,192.34

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Solution

The fourth proportional to 342,755.82, 473,905.96 and 300,192.34 is: 415,056.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,755.82 : 473,905.96 = 300,192.34 : x
  2. Step 2: Convert to fraction form
    342,755.82/473,905.96 = 300,192.34/x
  3. Step 3: Cross multiply
    342,755.82x = 473,905.96 × 300,192.34
  4. Step 4: Simplify right side
    342,755.82x = 142,262,939,072.35
  5. Step 5: Solve for x
    x = 142,262,939,072.35/342,755.82
  6. Step 6: Final answer
    x = 415,056.23

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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.