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Finding the Fourth Proportional to 407,810, 611,715 and 112,322

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Solution

The fourth proportional to 407,810, 611,715 and 112,322 is: 168,483

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,810 : 611,715 = 112,322 : x
  2. Step 2: Convert to fraction form
    407,810/611,715 = 112,322/x
  3. Step 3: Cross multiply
    407,810x = 611,715 × 112,322
  4. Step 4: Simplify right side
    407,810x = 68,709,052,230
  5. Step 5: Solve for x
    x = 68,709,052,230/407,810
  6. Step 6: Final answer
    x = 168,483

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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.