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Finding the Fourth Proportional to 509,630.75, 703,290.89 and 280,191.94

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Solution

The fourth proportional to 509,630.75, 703,290.89 and 280,191.94 is: 386,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,630.75 : 703,290.89 = 280,191.94 : x
  2. Step 2: Convert to fraction form
    509,630.75/703,290.89 = 280,191.94/x
  3. Step 3: Cross multiply
    509,630.75x = 703,290.89 × 280,191.94
  4. Step 4: Simplify right side
    509,630.75x = 197,056,438,853.43
  5. Step 5: Solve for x
    x = 197,056,438,853.43/509,630.75
  6. Step 6: Final answer
    x = 386,665.13

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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.