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Finding the Fourth Proportional to 325,115.64, 447,662.70 and 284,602.68

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Solution

The fourth proportional to 325,115.64, 447,662.70 and 284,602.68 is: 391,879.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,115.64 : 447,662.70 = 284,602.68 : x
  2. Step 2: Convert to fraction form
    325,115.64/447,662.70 = 284,602.68/x
  3. Step 3: Cross multiply
    325,115.64x = 447,662.70 × 284,602.68
  4. Step 4: Simplify right side
    325,115.64x = 127,406,004,156.04
  5. Step 5: Solve for x
    x = 127,406,004,156.04/325,115.64
  6. Step 6: Final answer
    x = 391,879.04

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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.