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Finding the Fourth Proportional to 298,513.86, 447,829.88 and 85,283.59

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Solution

The fourth proportional to 298,513.86, 447,829.88 and 85,283.59 is: 127,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,513.86 : 447,829.88 = 85,283.59 : x
  2. Step 2: Convert to fraction form
    298,513.86/447,829.88 = 85,283.59/x
  3. Step 3: Cross multiply
    298,513.86x = 447,829.88 × 85,283.59
  4. Step 4: Simplify right side
    298,513.86x = 38,192,538,969.30
  5. Step 5: Solve for x
    x = 38,192,538,969.30/298,513.86
  6. Step 6: Final answer
    x = 127,942.26

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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.