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Finding the Fourth Proportional to 276,090.60, 413,892.90 and 187,055.40

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Solution

The fourth proportional to 276,090.60, 413,892.90 and 187,055.40 is: 280,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,090.60 : 413,892.90 = 187,055.40 : x
  2. Step 2: Convert to fraction form
    276,090.60/413,892.90 = 187,055.40/x
  3. Step 3: Cross multiply
    276,090.60x = 413,892.90 × 187,055.40
  4. Step 4: Simplify right side
    276,090.60x = 77,420,901,966.66
  5. Step 5: Solve for x
    x = 77,420,901,966.66/276,090.60
  6. Step 6: Final answer
    x = 280,418.46

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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.