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Finding the Fourth Proportional to 492,159.36, 678,867.84 and 310,554.12

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Solution

The fourth proportional to 492,159.36, 678,867.84 and 310,554.12 is: 428,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,159.36 : 678,867.84 = 310,554.12 : x
  2. Step 2: Convert to fraction form
    492,159.36/678,867.84 = 310,554.12/x
  3. Step 3: Cross multiply
    492,159.36x = 678,867.84 × 310,554.12
  4. Step 4: Simplify right side
    492,159.36x = 210,825,204,647.50
  5. Step 5: Solve for x
    x = 210,825,204,647.50/492,159.36
  6. Step 6: Final answer
    x = 428,367.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.