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Finding the Fourth Proportional to 613,538.84, 919,532.82 and 276,220.28

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Solution

The fourth proportional to 613,538.84, 919,532.82 and 276,220.28 is: 413,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,538.84 : 919,532.82 = 276,220.28 : x
  2. Step 2: Convert to fraction form
    613,538.84/919,532.82 = 276,220.28/x
  3. Step 3: Cross multiply
    613,538.84x = 919,532.82 × 276,220.28
  4. Step 4: Simplify right side
    613,538.84x = 253,993,613,009.59
  5. Step 5: Solve for x
    x = 253,993,613,009.59/613,538.84
  6. Step 6: Final answer
    x = 413,981.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.