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Finding the Fourth Proportional to 275,456.88, 380,135.16 and 152,946

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Solution

The fourth proportional to 275,456.88, 380,135.16 and 152,946 is: 211,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,456.88 : 380,135.16 = 152,946 : x
  2. Step 2: Convert to fraction form
    275,456.88/380,135.16 = 152,946/x
  3. Step 3: Cross multiply
    275,456.88x = 380,135.16 × 152,946
  4. Step 4: Simplify right side
    275,456.88x = 58,140,152,181.36
  5. Step 5: Solve for x
    x = 58,140,152,181.36/275,456.88
  6. Step 6: Final answer
    x = 211,068.07

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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.