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Finding the Fourth Proportional to 415,902.40, 623,853.60 and 205,496.80

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Solution

The fourth proportional to 415,902.40, 623,853.60 and 205,496.80 is: 308,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,902.40 : 623,853.60 = 205,496.80 : x
  2. Step 2: Convert to fraction form
    415,902.40/623,853.60 = 205,496.80/x
  3. Step 3: Cross multiply
    415,902.40x = 623,853.60 × 205,496.80
  4. Step 4: Simplify right side
    415,902.40x = 128,199,918,468.48
  5. Step 5: Solve for x
    x = 128,199,918,468.48/415,902.40
  6. Step 6: Final answer
    x = 308,245.20

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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.