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Finding the Fourth Proportional to 278,521.96, 417,405.42 and 203,289.16

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Solution

The fourth proportional to 278,521.96, 417,405.42 and 203,289.16 is: 304,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,521.96 : 417,405.42 = 203,289.16 : x
  2. Step 2: Convert to fraction form
    278,521.96/417,405.42 = 203,289.16/x
  3. Step 3: Cross multiply
    278,521.96x = 417,405.42 × 203,289.16
  4. Step 4: Simplify right side
    278,521.96x = 84,853,997,211.25
  5. Step 5: Solve for x
    x = 84,853,997,211.25/278,521.96
  6. Step 6: Final answer
    x = 304,658.19

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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.