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Finding the Fourth Proportional to 581,959.70, 802,649.41 and 378,076.31

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Solution

The fourth proportional to 581,959.70, 802,649.41 and 378,076.31 is: 521,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,959.70 : 802,649.41 = 378,076.31 : x
  2. Step 2: Convert to fraction form
    581,959.70/802,649.41 = 378,076.31/x
  3. Step 3: Cross multiply
    581,959.70x = 802,649.41 × 378,076.31
  4. Step 4: Simplify right side
    581,959.70x = 303,462,725,207.98
  5. Step 5: Solve for x
    x = 303,462,725,207.98/581,959.70
  6. Step 6: Final answer
    x = 521,449.73

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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.