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Finding the Fourth Proportional to 427,054.82, 640,581.66 and 174,454.02

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Solution

The fourth proportional to 427,054.82, 640,581.66 and 174,454.02 is: 261,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,054.82 : 640,581.66 = 174,454.02 : x
  2. Step 2: Convert to fraction form
    427,054.82/640,581.66 = 174,454.02/x
  3. Step 3: Cross multiply
    427,054.82x = 640,581.66 × 174,454.02
  4. Step 4: Simplify right side
    427,054.82x = 111,752,045,725.27
  5. Step 5: Solve for x
    x = 111,752,045,725.27/427,054.82
  6. Step 6: Final answer
    x = 261,680.80

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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.