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Finding the Fourth Proportional to 492,138, 678,956.04 and 310,782.24

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Solution

The fourth proportional to 492,138, 678,956.04 and 310,782.24 is: 428,756.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,138 : 678,956.04 = 310,782.24 : x
  2. Step 2: Convert to fraction form
    492,138/678,956.04 = 310,782.24/x
  3. Step 3: Cross multiply
    492,138x = 678,956.04 × 310,782.24
  4. Step 4: Simplify right side
    492,138x = 211,007,478,972.73
  5. Step 5: Solve for x
    x = 211,007,478,972.73/492,138
  6. Step 6: Final answer
    x = 428,756.73

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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.