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Finding the Fourth Proportional to 392,466.28, 587,911.19 and 178,940.47

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Solution

The fourth proportional to 392,466.28, 587,911.19 and 178,940.47 is: 268,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,466.28 : 587,911.19 = 178,940.47 : x
  2. Step 2: Convert to fraction form
    392,466.28/587,911.19 = 178,940.47/x
  3. Step 3: Cross multiply
    392,466.28x = 587,911.19 × 178,940.47
  4. Step 4: Simplify right side
    392,466.28x = 105,201,104,656.86
  5. Step 5: Solve for x
    x = 105,201,104,656.86/392,466.28
  6. Step 6: Final answer
    x = 268,051.32

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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.