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Finding the Fourth Proportional to 305,668.64, 458,191.92 and 283,040.48

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Solution

The fourth proportional to 305,668.64, 458,191.92 and 283,040.48 is: 424,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,668.64 : 458,191.92 = 283,040.48 : x
  2. Step 2: Convert to fraction form
    305,668.64/458,191.92 = 283,040.48/x
  3. Step 3: Cross multiply
    305,668.64x = 458,191.92 × 283,040.48
  4. Step 4: Simplify right side
    305,668.64x = 129,686,860,968.92
  5. Step 5: Solve for x
    x = 129,686,860,968.92/305,668.64
  6. Step 6: Final answer
    x = 424,272.71

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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.