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Finding the Fourth Proportional to 275,478.80, 413,172.84 and 257,546.48

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Solution

The fourth proportional to 275,478.80, 413,172.84 and 257,546.48 is: 386,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,478.80 : 413,172.84 = 257,546.48 : x
  2. Step 2: Convert to fraction form
    275,478.80/413,172.84 = 257,546.48/x
  3. Step 3: Cross multiply
    275,478.80x = 413,172.84 × 257,546.48
  4. Step 4: Simplify right side
    275,478.80x = 106,411,210,573.60
  5. Step 5: Solve for x
    x = 106,411,210,573.60/275,478.80
  6. Step 6: Final answer
    x = 386,277.31

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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.