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Finding the Fourth Proportional to 284,335.41, 426,134.97 and 115,659.93

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Solution

The fourth proportional to 284,335.41, 426,134.97 and 115,659.93 is: 173,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,335.41 : 426,134.97 = 115,659.93 : x
  2. Step 2: Convert to fraction form
    284,335.41/426,134.97 = 115,659.93/x
  3. Step 3: Cross multiply
    284,335.41x = 426,134.97 × 115,659.93
  4. Step 4: Simplify right side
    284,335.41x = 49,286,740,800.75
  5. Step 5: Solve for x
    x = 49,286,740,800.75/284,335.41
  6. Step 6: Final answer
    x = 173,340.14

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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.