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Finding the Fourth Proportional to 361,014.78, 498,331.29 and 210,111.78

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Solution

The fourth proportional to 361,014.78, 498,331.29 and 210,111.78 is: 290,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,014.78 : 498,331.29 = 210,111.78 : x
  2. Step 2: Convert to fraction form
    361,014.78/498,331.29 = 210,111.78/x
  3. Step 3: Cross multiply
    361,014.78x = 498,331.29 × 210,111.78
  4. Step 4: Simplify right side
    361,014.78x = 104,705,274,371.60
  5. Step 5: Solve for x
    x = 104,705,274,371.60/361,014.78
  6. Step 6: Final answer
    x = 290,030.44

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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.