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Finding the Fourth Proportional to 420,906.87, 631,196.54 and 136,528.65

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Solution

The fourth proportional to 420,906.87, 631,196.54 and 136,528.65 is: 204,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,906.87 : 631,196.54 = 136,528.65 : x
  2. Step 2: Convert to fraction form
    420,906.87/631,196.54 = 136,528.65/x
  3. Step 3: Cross multiply
    420,906.87x = 631,196.54 × 136,528.65
  4. Step 4: Simplify right side
    420,906.87x = 86,176,411,490.87
  5. Step 5: Solve for x
    x = 86,176,411,490.87/420,906.87
  6. Step 6: Final answer
    x = 204,739.85

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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.