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Finding the Fourth Proportional to 385,676.69, 578,553.31 and 142,581.48

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Solution

The fourth proportional to 385,676.69, 578,553.31 and 142,581.48 is: 213,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,676.69 : 578,553.31 = 142,581.48 : x
  2. Step 2: Convert to fraction form
    385,676.69/578,553.31 = 142,581.48/x
  3. Step 3: Cross multiply
    385,676.69x = 578,553.31 × 142,581.48
  4. Step 4: Simplify right side
    385,676.69x = 82,490,984,405.33
  5. Step 5: Solve for x
    x = 82,490,984,405.33/385,676.69
  6. Step 6: Final answer
    x = 213,886.37

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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.