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Finding the Fourth Proportional to 509,473.67, 703,080.88 and 280,052.17

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Solution

The fourth proportional to 509,473.67, 703,080.88 and 280,052.17 is: 386,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,473.67 : 703,080.88 = 280,052.17 : x
  2. Step 2: Convert to fraction form
    509,473.67/703,080.88 = 280,052.17/x
  3. Step 3: Cross multiply
    509,473.67x = 703,080.88 × 280,052.17
  4. Step 4: Simplify right side
    509,473.67x = 196,899,322,614.11
  5. Step 5: Solve for x
    x = 196,899,322,614.11/509,473.67
  6. Step 6: Final answer
    x = 386,475.96

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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.