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Finding the Fourth Proportional to 415,276.20, 622,881.90 and 162,507.60

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Solution

The fourth proportional to 415,276.20, 622,881.90 and 162,507.60 is: 243,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,276.20 : 622,881.90 = 162,507.60 : x
  2. Step 2: Convert to fraction form
    415,276.20/622,881.90 = 162,507.60/x
  3. Step 3: Cross multiply
    415,276.20x = 622,881.90 × 162,507.60
  4. Step 4: Simplify right side
    415,276.20x = 101,223,042,652.44
  5. Step 5: Solve for x
    x = 101,223,042,652.44/415,276.20
  6. Step 6: Final answer
    x = 243,748.72

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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.