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Finding the Fourth Proportional to 298,511.78, 411,245.64 and 207,711.58

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Solution

The fourth proportional to 298,511.78, 411,245.64 and 207,711.58 is: 286,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,511.78 : 411,245.64 = 207,711.58 : x
  2. Step 2: Convert to fraction form
    298,511.78/411,245.64 = 207,711.58/x
  3. Step 3: Cross multiply
    298,511.78x = 411,245.64 × 207,711.58
  4. Step 4: Simplify right side
    298,511.78x = 85,420,481,652.51
  5. Step 5: Solve for x
    x = 85,420,481,652.51/298,511.78
  6. Step 6: Final answer
    x = 286,154.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.