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Finding the Fourth Proportional to 509,972.09, 703,774.61 and 280,535.27

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Solution

The fourth proportional to 509,972.09, 703,774.61 and 280,535.27 is: 387,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,972.09 : 703,774.61 = 280,535.27 : x
  2. Step 2: Convert to fraction form
    509,972.09/703,774.61 = 280,535.27/x
  3. Step 3: Cross multiply
    509,972.09x = 703,774.61 × 280,535.27
  4. Step 4: Simplify right side
    509,972.09x = 197,433,596,365.95
  5. Step 5: Solve for x
    x = 197,433,596,365.95/509,972.09
  6. Step 6: Final answer
    x = 387,145.89

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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.