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Finding the Fourth Proportional to 253,911.60, 380,744.28 and 76,385.52

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Solution

The fourth proportional to 253,911.60, 380,744.28 and 76,385.52 is: 114,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,911.60 : 380,744.28 = 76,385.52 : x
  2. Step 2: Convert to fraction form
    253,911.60/380,744.28 = 76,385.52/x
  3. Step 3: Cross multiply
    253,911.60x = 380,744.28 × 76,385.52
  4. Step 4: Simplify right side
    253,911.60x = 29,083,349,814.83
  5. Step 5: Solve for x
    x = 29,083,349,814.83/253,911.60
  6. Step 6: Final answer
    x = 114,541.24

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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.