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Finding the Fourth Proportional to 254,489.40, 381,890.10 and 104,801.40

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Solution

The fourth proportional to 254,489.40, 381,890.10 and 104,801.40 is: 157,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,489.40 : 381,890.10 = 104,801.40 : x
  2. Step 2: Convert to fraction form
    254,489.40/381,890.10 = 104,801.40/x
  3. Step 3: Cross multiply
    254,489.40x = 381,890.10 × 104,801.40
  4. Step 4: Simplify right side
    254,489.40x = 40,022,617,126.14
  5. Step 5: Solve for x
    x = 40,022,617,126.14/254,489.40
  6. Step 6: Final answer
    x = 157,266.34

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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.