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Finding the Fourth Proportional to 509,750.22, 703,473.27 and 280,324.94

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Solution

The fourth proportional to 509,750.22, 703,473.27 and 280,324.94 is: 386,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,750.22 : 703,473.27 = 280,324.94 : x
  2. Step 2: Convert to fraction form
    509,750.22/703,473.27 = 280,324.94/x
  3. Step 3: Cross multiply
    509,750.22x = 703,473.27 × 280,324.94
  4. Step 4: Simplify right side
    509,750.22x = 197,201,102,204.35
  5. Step 5: Solve for x
    x = 197,201,102,204.35/509,750.22
  6. Step 6: Final answer
    x = 386,858.30

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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.