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Finding the Fourth Proportional to 509,652.51, 703,321.89 and 280,233.27

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Solution

The fourth proportional to 509,652.51, 703,321.89 and 280,233.27 is: 386,722.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,652.51 : 703,321.89 = 280,233.27 : x
  2. Step 2: Convert to fraction form
    509,652.51/703,321.89 = 280,233.27/x
  3. Step 3: Cross multiply
    509,652.51x = 703,321.89 × 280,233.27
  4. Step 4: Simplify right side
    509,652.51x = 197,094,192,046.41
  5. Step 5: Solve for x
    x = 197,094,192,046.41/509,652.51
  6. Step 6: Final answer
    x = 386,722.70

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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.