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Finding the Fourth Proportional to 415,261.60, 622,892.40 and 282,551.20

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Solution

The fourth proportional to 415,261.60, 622,892.40 and 282,551.20 is: 423,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,261.60 : 622,892.40 = 282,551.20 : x
  2. Step 2: Convert to fraction form
    415,261.60/622,892.40 = 282,551.20/x
  3. Step 3: Cross multiply
    415,261.60x = 622,892.40 × 282,551.20
  4. Step 4: Simplify right side
    415,261.60x = 175,998,995,090.88
  5. Step 5: Solve for x
    x = 175,998,995,090.88/415,261.60
  6. Step 6: Final answer
    x = 423,826.80

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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.