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Finding the Fourth Proportional to 253,878.40, 380,740.84 and 76,338.28

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Solution

The fourth proportional to 253,878.40, 380,740.84 and 76,338.28 is: 114,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,878.40 : 380,740.84 = 76,338.28 : x
  2. Step 2: Convert to fraction form
    253,878.40/380,740.84 = 76,338.28/x
  3. Step 3: Cross multiply
    253,878.40x = 380,740.84 × 76,338.28
  4. Step 4: Simplify right side
    253,878.40x = 29,065,100,851.36
  5. Step 5: Solve for x
    x = 29,065,100,851.36/253,878.40
  6. Step 6: Final answer
    x = 114,484.34

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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.