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Finding the Fourth Proportional to 410,321.21, 565,565.39 and 274,305.47

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Solution

The fourth proportional to 410,321.21, 565,565.39 and 274,305.47 is: 378,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,321.21 : 565,565.39 = 274,305.47 : x
  2. Step 2: Convert to fraction form
    410,321.21/565,565.39 = 274,305.47/x
  3. Step 3: Cross multiply
    410,321.21x = 565,565.39 × 274,305.47
  4. Step 4: Simplify right side
    410,321.21x = 155,137,680,119.68
  5. Step 5: Solve for x
    x = 155,137,680,119.68/410,321.21
  6. Step 6: Final answer
    x = 378,088.38

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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.