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Finding the Fourth Proportional to 493,026.42, 680,362.65 and 278,186.47

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Solution

The fourth proportional to 493,026.42, 680,362.65 and 278,186.47 is: 383,889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,026.42 : 680,362.65 = 278,186.47 : x
  2. Step 2: Convert to fraction form
    493,026.42/680,362.65 = 278,186.47/x
  3. Step 3: Cross multiply
    493,026.42x = 680,362.65 × 278,186.47
  4. Step 4: Simplify right side
    493,026.42x = 189,267,683,923.35
  5. Step 5: Solve for x
    x = 189,267,683,923.35/493,026.42
  6. Step 6: Final answer
    x = 383,889.54

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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.