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Finding the Fourth Proportional to 509,447.73, 703,045.17 and 280,026.27

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Solution

The fourth proportional to 509,447.73, 703,045.17 and 280,026.27 is: 386,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,447.73 : 703,045.17 = 280,026.27 : x
  2. Step 2: Convert to fraction form
    509,447.73/703,045.17 = 280,026.27/x
  3. Step 3: Cross multiply
    509,447.73x = 703,045.17 × 280,026.27
  4. Step 4: Simplify right side
    509,447.73x = 196,871,116,596.62
  5. Step 5: Solve for x
    x = 196,871,116,596.62/509,447.73
  6. Step 6: Final answer
    x = 386,440.27

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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.