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Finding the Fourth Proportional to 253,813.92, 380,652.64 and 76,281.28

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Solution

The fourth proportional to 253,813.92, 380,652.64 and 76,281.28 is: 114,401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,813.92 : 380,652.64 = 76,281.28 : x
  2. Step 2: Convert to fraction form
    253,813.92/380,652.64 = 76,281.28/x
  3. Step 3: Cross multiply
    253,813.92x = 380,652.64 × 76,281.28
  4. Step 4: Simplify right side
    253,813.92x = 29,036,670,614.58
  5. Step 5: Solve for x
    x = 29,036,670,614.58/253,813.92
  6. Step 6: Final answer
    x = 114,401.41

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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.