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Finding the Fourth Proportional to 509,837.49, 703,560.56 and 280,394.46

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Solution

The fourth proportional to 509,837.49, 703,560.56 and 280,394.46 is: 386,936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,837.49 : 703,560.56 = 280,394.46 : x
  2. Step 2: Convert to fraction form
    509,837.49/703,560.56 = 280,394.46/x
  3. Step 3: Cross multiply
    509,837.49x = 703,560.56 × 280,394.46
  4. Step 4: Simplify right side
    509,837.49x = 197,274,481,896.53
  5. Step 5: Solve for x
    x = 197,274,481,896.53/509,837.49
  6. Step 6: Final answer
    x = 386,936.01

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1.5x scale

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.