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Finding the Fourth Proportional to 502,015.50, 692,786.25 and 275,665.86

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Solution

The fourth proportional to 502,015.50, 692,786.25 and 275,665.86 is: 380,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,015.50 : 692,786.25 = 275,665.86 : x
  2. Step 2: Convert to fraction form
    502,015.50/692,786.25 = 275,665.86/x
  3. Step 3: Cross multiply
    502,015.50x = 692,786.25 × 275,665.86
  4. Step 4: Simplify right side
    502,015.50x = 190,977,517,402.43
  5. Step 5: Solve for x
    x = 190,977,517,402.43/502,015.50
  6. Step 6: Final answer
    x = 380,421.56

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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.