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Finding the Fourth Proportional to 509,694.32, 703,396.20 and 280,269.02

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Solution

The fourth proportional to 509,694.32, 703,396.20 and 280,269.02 is: 386,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,694.32 : 703,396.20 = 280,269.02 : x
  2. Step 2: Convert to fraction form
    509,694.32/703,396.20 = 280,269.02/x
  3. Step 3: Cross multiply
    509,694.32x = 703,396.20 × 280,269.02
  4. Step 4: Simplify right side
    509,694.32x = 197,140,163,645.72
  5. Step 5: Solve for x
    x = 197,140,163,645.72/509,694.32
  6. Step 6: Final answer
    x = 386,781.17

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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.