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Finding the Fourth Proportional to 254,813.34, 382,200.48 and 77,321.28

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Solution

The fourth proportional to 254,813.34, 382,200.48 and 77,321.28 is: 115,975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,813.34 : 382,200.48 = 77,321.28 : x
  2. Step 2: Convert to fraction form
    254,813.34/382,200.48 = 77,321.28/x
  3. Step 3: Cross multiply
    254,813.34x = 382,200.48 × 77,321.28
  4. Step 4: Simplify right side
    254,813.34x = 29,552,230,330.21
  5. Step 5: Solve for x
    x = 29,552,230,330.21/254,813.34
  6. Step 6: Final answer
    x = 115,975.99

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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.