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Finding the Fourth Proportional to 509,717.56, 703,425.54 and 280,262.98

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Solution

The fourth proportional to 509,717.56, 703,425.54 and 280,262.98 is: 386,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,717.56 : 703,425.54 = 280,262.98 : x
  2. Step 2: Convert to fraction form
    509,717.56/703,425.54 = 280,262.98/x
  3. Step 3: Cross multiply
    509,717.56x = 703,425.54 × 280,262.98
  4. Step 4: Simplify right side
    509,717.56x = 197,144,138,048.51
  5. Step 5: Solve for x
    x = 197,144,138,048.51/509,717.56
  6. Step 6: Final answer
    x = 386,771.33

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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.