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Finding the Fourth Proportional to 509,578.24, 703,226.94 and 280,145.20

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Solution

The fourth proportional to 509,578.24, 703,226.94 and 280,145.20 is: 386,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,578.24 : 703,226.94 = 280,145.20 : x
  2. Step 2: Convert to fraction form
    509,578.24/703,226.94 = 280,145.20/x
  3. Step 3: Cross multiply
    509,578.24x = 703,226.94 × 280,145.20
  4. Step 4: Simplify right side
    509,578.24x = 197,005,651,751.69
  5. Step 5: Solve for x
    x = 197,005,651,751.69/509,578.24
  6. Step 6: Final answer
    x = 386,605.31

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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.