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Finding the Fourth Proportional to 284,285.22, 426,425.73 and 115,765.94

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Solution

The fourth proportional to 284,285.22, 426,425.73 and 115,765.94 is: 173,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,285.22 : 426,425.73 = 115,765.94 : x
  2. Step 2: Convert to fraction form
    284,285.22/426,425.73 = 115,765.94/x
  3. Step 3: Cross multiply
    284,285.22x = 426,425.73 × 115,765.94
  4. Step 4: Simplify right side
    284,285.22x = 49,365,573,341.51
  5. Step 5: Solve for x
    x = 49,365,573,341.51/284,285.22
  6. Step 6: Final answer
    x = 173,648.05

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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.