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Finding the Fourth Proportional to 253,663.63, 380,498.64 and 76,160.32

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Solution

The fourth proportional to 253,663.63, 380,498.64 and 76,160.32 is: 114,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,663.63 : 380,498.64 = 76,160.32 : x
  2. Step 2: Convert to fraction form
    253,663.63/380,498.64 = 76,160.32/x
  3. Step 3: Cross multiply
    253,663.63x = 380,498.64 × 76,160.32
  4. Step 4: Simplify right side
    253,663.63x = 28,978,898,181.96
  5. Step 5: Solve for x
    x = 28,978,898,181.96/253,663.63
  6. Step 6: Final answer
    x = 114,241.44

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1.5x scale

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.