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Finding the Fourth Proportional to 509,516.82, 703,125.27 and 280,069.14

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Solution

The fourth proportional to 509,516.82, 703,125.27 and 280,069.14 is: 386,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,516.82 : 703,125.27 = 280,069.14 : x
  2. Step 2: Convert to fraction form
    509,516.82/703,125.27 = 280,069.14/x
  3. Step 3: Cross multiply
    509,516.82x = 703,125.27 × 280,069.14
  4. Step 4: Simplify right side
    509,516.82x = 196,923,689,681.17
  5. Step 5: Solve for x
    x = 196,923,689,681.17/509,516.82
  6. Step 6: Final answer
    x = 386,491.05

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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.