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Finding the Fourth Proportional to 427,820.81, 590,671.25 and 274,917.92

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Solution

The fourth proportional to 427,820.81, 590,671.25 and 274,917.92 is: 379,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,820.81 : 590,671.25 = 274,917.92 : x
  2. Step 2: Convert to fraction form
    427,820.81/590,671.25 = 274,917.92/x
  3. Step 3: Cross multiply
    427,820.81x = 590,671.25 × 274,917.92
  4. Step 4: Simplify right side
    427,820.81x = 162,386,111,453.80
  5. Step 5: Solve for x
    x = 162,386,111,453.80/427,820.81
  6. Step 6: Final answer
    x = 379,565.71

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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.