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Finding the Fourth Proportional to 505,850.12, 698,071.74 and 279,494

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Solution

The fourth proportional to 505,850.12, 698,071.74 and 279,494 is: 385,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,850.12 : 698,071.74 = 279,494 : x
  2. Step 2: Convert to fraction form
    505,850.12/698,071.74 = 279,494/x
  3. Step 3: Cross multiply
    505,850.12x = 698,071.74 × 279,494
  4. Step 4: Simplify right side
    505,850.12x = 195,106,862,899.56
  5. Step 5: Solve for x
    x = 195,106,862,899.56/505,850.12
  6. Step 6: Final answer
    x = 385,700.93

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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.