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Finding the Fourth Proportional to 517,287.87, 713,857.19 and 287,859.92

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Solution

The fourth proportional to 517,287.87, 713,857.19 and 287,859.92 is: 397,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,287.87 : 713,857.19 = 287,859.92 : x
  2. Step 2: Convert to fraction form
    517,287.87/713,857.19 = 287,859.92/x
  3. Step 3: Cross multiply
    517,287.87x = 713,857.19 × 287,859.92
  4. Step 4: Simplify right side
    517,287.87x = 205,490,868,596.24
  5. Step 5: Solve for x
    x = 205,490,868,596.24/517,287.87
  6. Step 6: Final answer
    x = 397,246.64

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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.