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Finding the Fourth Proportional to 631,805.32, 946,711.68 and 231,895.90

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Solution

The fourth proportional to 631,805.32, 946,711.68 and 231,895.90 is: 347,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,805.32 : 946,711.68 = 231,895.90 : x
  2. Step 2: Convert to fraction form
    631,805.32/946,711.68 = 231,895.90/x
  3. Step 3: Cross multiply
    631,805.32x = 946,711.68 × 231,895.90
  4. Step 4: Simplify right side
    631,805.32x = 219,538,557,074.11
  5. Step 5: Solve for x
    x = 219,538,557,074.11/631,805.32
  6. Step 6: Final answer
    x = 347,478.17

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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.