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Finding the Fourth Proportional to 469,241.28, 647,553.12 and 254,381.28

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Solution

The fourth proportional to 469,241.28, 647,553.12 and 254,381.28 is: 351,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,241.28 : 647,553.12 = 254,381.28 : x
  2. Step 2: Convert to fraction form
    469,241.28/647,553.12 = 254,381.28/x
  3. Step 3: Cross multiply
    469,241.28x = 647,553.12 × 254,381.28
  4. Step 4: Simplify right side
    469,241.28x = 164,725,391,533.59
  5. Step 5: Solve for x
    x = 164,725,391,533.59/469,241.28
  6. Step 6: Final answer
    x = 351,046.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.