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Finding the Fourth Proportional to 253,898.76, 380,849.50 and 76,404.58

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Solution

The fourth proportional to 253,898.76, 380,849.50 and 76,404.58 is: 114,607.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,898.76 : 380,849.50 = 76,404.58 : x
  2. Step 2: Convert to fraction form
    253,898.76/380,849.50 = 76,404.58/x
  3. Step 3: Cross multiply
    253,898.76x = 380,849.50 × 76,404.58
  4. Step 4: Simplify right side
    253,898.76x = 29,098,646,090.71
  5. Step 5: Solve for x
    x = 29,098,646,090.71/253,898.76
  6. Step 6: Final answer
    x = 114,607.28

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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.