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Finding the Fourth Proportional to 420,516, 631,036.44 and 171,198

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Solution

The fourth proportional to 420,516, 631,036.44 and 171,198 is: 256,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,516 : 631,036.44 = 171,198 : x
  2. Step 2: Convert to fraction form
    420,516/631,036.44 = 171,198/x
  3. Step 3: Cross multiply
    420,516x = 631,036.44 × 171,198
  4. Step 4: Simplify right side
    420,516x = 108,032,176,455.12
  5. Step 5: Solve for x
    x = 108,032,176,455.12/420,516
  6. Step 6: Final answer
    x = 256,903.84

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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.