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Finding the Fourth Proportional to 420,907.38, 631,197.29 and 136,529.16

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Solution

The fourth proportional to 420,907.38, 631,197.29 and 136,529.16 is: 204,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,907.38 : 631,197.29 = 136,529.16 : x
  2. Step 2: Convert to fraction form
    420,907.38/631,197.29 = 136,529.16/x
  3. Step 3: Cross multiply
    420,907.38x = 631,197.29 × 136,529.16
  4. Step 4: Simplify right side
    420,907.38x = 86,176,835,115.33
  5. Step 5: Solve for x
    x = 86,176,835,115.33/420,907.38
  6. Step 6: Final answer
    x = 204,740.61

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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.