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Finding the Fourth Proportional to 492,242.10, 678,978.90 and 310,633.62

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Solution

The fourth proportional to 492,242.10, 678,978.90 and 310,633.62 is: 428,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,242.10 : 678,978.90 = 310,633.62 : x
  2. Step 2: Convert to fraction form
    492,242.10/678,978.90 = 310,633.62/x
  3. Step 3: Cross multiply
    492,242.10x = 678,978.90 × 310,633.62
  4. Step 4: Simplify right side
    492,242.10x = 210,913,673,610.62
  5. Step 5: Solve for x
    x = 210,913,673,610.62/492,242.10
  6. Step 6: Final answer
    x = 428,475.49

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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.