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Finding the Fourth Proportional to 683,649.89, 943,431.30 and 377,725.31

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Solution

The fourth proportional to 683,649.89, 943,431.30 and 377,725.31 is: 521,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,649.89 : 943,431.30 = 377,725.31 : x
  2. Step 2: Convert to fraction form
    683,649.89/943,431.30 = 377,725.31/x
  3. Step 3: Cross multiply
    683,649.89x = 943,431.30 × 377,725.31
  4. Step 4: Simplify right side
    683,649.89x = 356,357,875,539.05
  5. Step 5: Solve for x
    x = 356,357,875,539.05/683,649.89
  6. Step 6: Final answer
    x = 521,257.86

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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.