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Finding the Fourth Proportional to 509,630.25, 703,290.20 and 280,191.44

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Solution

The fourth proportional to 509,630.25, 703,290.20 and 280,191.44 is: 386,664.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,630.25 : 703,290.20 = 280,191.44 : x
  2. Step 2: Convert to fraction form
    509,630.25/703,290.20 = 280,191.44/x
  3. Step 3: Cross multiply
    509,630.25x = 703,290.20 × 280,191.44
  4. Step 4: Simplify right side
    509,630.25x = 197,055,893,875.89
  5. Step 5: Solve for x
    x = 197,055,893,875.89/509,630.25
  6. Step 6: Final answer
    x = 386,664.44

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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.