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Finding the Fourth Proportional to 354,263.43, 488,865.86 and 201,281.41

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Solution

The fourth proportional to 354,263.43, 488,865.86 and 201,281.41 is: 277,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,263.43 : 488,865.86 = 201,281.41 : x
  2. Step 2: Convert to fraction form
    354,263.43/488,865.86 = 201,281.41/x
  3. Step 3: Cross multiply
    354,263.43x = 488,865.86 × 201,281.41
  4. Step 4: Simplify right side
    354,263.43x = 98,399,609,601.66
  5. Step 5: Solve for x
    x = 98,399,609,601.66/354,263.43
  6. Step 6: Final answer
    x = 277,758.30

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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.