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Finding the Fourth Proportional to 354,326.31, 488,951.78 and 201,344.04

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Solution

The fourth proportional to 354,326.31, 488,951.78 and 201,344.04 is: 277,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,326.31 : 488,951.78 = 201,344.04 : x
  2. Step 2: Convert to fraction form
    354,326.31/488,951.78 = 201,344.04/x
  3. Step 3: Cross multiply
    354,326.31x = 488,951.78 × 201,344.04
  4. Step 4: Simplify right side
    354,326.31x = 98,447,525,743.67
  5. Step 5: Solve for x
    x = 98,447,525,743.67/354,326.31
  6. Step 6: Final answer
    x = 277,844.24

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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.