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Finding the Fourth Proportional to 253,994.32, 380,814.36 and 111,771.28

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Solution

The fourth proportional to 253,994.32, 380,814.36 and 111,771.28 is: 167,578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,994.32 : 380,814.36 = 111,771.28 : x
  2. Step 2: Convert to fraction form
    253,994.32/380,814.36 = 111,771.28/x
  3. Step 3: Cross multiply
    253,994.32x = 380,814.36 × 111,771.28
  4. Step 4: Simplify right side
    253,994.32x = 42,564,108,459.58
  5. Step 5: Solve for x
    x = 42,564,108,459.58/253,994.32
  6. Step 6: Final answer
    x = 167,578.98

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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.