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Finding the Fourth Proportional to 278,347.44, 416,871.48 and 203,281.56

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Solution

The fourth proportional to 278,347.44, 416,871.48 and 203,281.56 is: 304,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,347.44 : 416,871.48 = 203,281.56 : x
  2. Step 2: Convert to fraction form
    278,347.44/416,871.48 = 203,281.56/x
  3. Step 3: Cross multiply
    278,347.44x = 416,871.48 × 203,281.56
  4. Step 4: Simplify right side
    278,347.44x = 84,742,284,773.91
  5. Step 5: Solve for x
    x = 84,742,284,773.91/278,347.44
  6. Step 6: Final answer
    x = 304,447.87

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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.