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Finding the Fourth Proportional to 254,858.56, 382,278.10 and 77,358.40

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Solution

The fourth proportional to 254,858.56, 382,278.10 and 77,358.40 is: 116,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,858.56 : 382,278.10 = 77,358.40 : x
  2. Step 2: Convert to fraction form
    254,858.56/382,278.10 = 77,358.40/x
  3. Step 3: Cross multiply
    254,858.56x = 382,278.10 × 77,358.40
  4. Step 4: Simplify right side
    254,858.56x = 29,572,422,171.04
  5. Step 5: Solve for x
    x = 29,572,422,171.04/254,858.56
  6. Step 6: Final answer
    x = 116,034.64

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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.