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Finding the Fourth Proportional to 415,207.60, 622,811.40 and 265,616.80

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Solution

The fourth proportional to 415,207.60, 622,811.40 and 265,616.80 is: 398,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,207.60 : 622,811.40 = 265,616.80 : x
  2. Step 2: Convert to fraction form
    415,207.60/622,811.40 = 265,616.80/x
  3. Step 3: Cross multiply
    415,207.60x = 622,811.40 × 265,616.80
  4. Step 4: Simplify right side
    415,207.60x = 165,429,171,071.52
  5. Step 5: Solve for x
    x = 165,429,171,071.52/415,207.60
  6. Step 6: Final answer
    x = 398,425.20

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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.