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Finding the Fourth Proportional to 415,942.40, 623,913.60 and 205,536.80

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Solution

The fourth proportional to 415,942.40, 623,913.60 and 205,536.80 is: 308,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,942.40 : 623,913.60 = 205,536.80 : x
  2. Step 2: Convert to fraction form
    415,942.40/623,913.60 = 205,536.80/x
  3. Step 3: Cross multiply
    415,942.40x = 623,913.60 × 205,536.80
  4. Step 4: Simplify right side
    415,942.40x = 128,237,204,820.48
  5. Step 5: Solve for x
    x = 128,237,204,820.48/415,942.40
  6. Step 6: Final answer
    x = 308,305.20

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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.