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Finding the Fourth Proportional to 509,716.06, 703,423.48 and 280,261.48

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Solution

The fourth proportional to 509,716.06, 703,423.48 and 280,261.48 is: 386,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,716.06 : 703,423.48 = 280,261.48 : x
  2. Step 2: Convert to fraction form
    509,716.06/703,423.48 = 280,261.48/x
  3. Step 3: Cross multiply
    509,716.06x = 703,423.48 × 280,261.48
  4. Step 4: Simplify right side
    509,716.06x = 197,142,505,571.55
  5. Step 5: Solve for x
    x = 197,142,505,571.55/509,716.06
  6. Step 6: Final answer
    x = 386,769.26

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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.