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Finding the Fourth Proportional to 493,323.90, 680,772.54 and 278,483.94

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Solution

The fourth proportional to 493,323.90, 680,772.54 and 278,483.94 is: 384,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,323.90 : 680,772.54 = 278,483.94 : x
  2. Step 2: Convert to fraction form
    493,323.90/680,772.54 = 278,483.94/x
  3. Step 3: Cross multiply
    493,323.90x = 680,772.54 × 278,483.94
  4. Step 4: Simplify right side
    493,323.90x = 189,584,219,183.01
  5. Step 5: Solve for x
    x = 189,584,219,183.01/493,323.90
  6. Step 6: Final answer
    x = 384,299.68

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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.