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Finding the Fourth Proportional to 517,359.13, 713,940.96 and 287,912.75

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Solution

The fourth proportional to 517,359.13, 713,940.96 and 287,912.75 is: 397,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,359.13 : 713,940.96 = 287,912.75 : x
  2. Step 2: Convert to fraction form
    517,359.13/713,940.96 = 287,912.75/x
  3. Step 3: Cross multiply
    517,359.13x = 713,940.96 × 287,912.75
  4. Step 4: Simplify right side
    517,359.13x = 205,552,705,131.24
  5. Step 5: Solve for x
    x = 205,552,705,131.24/517,359.13
  6. Step 6: Final answer
    x = 397,311.45

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1.5x scale

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.