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Finding the Fourth Proportional to 415,338.40, 623,007.60 and 255,906.10

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Solution

The fourth proportional to 415,338.40, 623,007.60 and 255,906.10 is: 383,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,338.40 : 623,007.60 = 255,906.10 : x
  2. Step 2: Convert to fraction form
    415,338.40/623,007.60 = 255,906.10/x
  3. Step 3: Cross multiply
    415,338.40x = 623,007.60 × 255,906.10
  4. Step 4: Simplify right side
    415,338.40x = 159,431,445,186.36
  5. Step 5: Solve for x
    x = 159,431,445,186.36/415,338.40
  6. Step 6: Final answer
    x = 383,859.15

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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.