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Finding the Fourth Proportional to 509,625.54, 703,283.69 and 280,186.73

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Solution

The fourth proportional to 509,625.54, 703,283.69 and 280,186.73 is: 386,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,625.54 : 703,283.69 = 280,186.73 : x
  2. Step 2: Convert to fraction form
    509,625.54/703,283.69 = 280,186.73/x
  3. Step 3: Cross multiply
    509,625.54x = 703,283.69 × 280,186.73
  4. Step 4: Simplify right side
    509,625.54x = 197,050,752,446.08
  5. Step 5: Solve for x
    x = 197,050,752,446.08/509,625.54
  6. Step 6: Final answer
    x = 386,657.92

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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.