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Finding the Fourth Proportional to 493,353.72, 680,827.86 and 278,495.64

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Solution

The fourth proportional to 493,353.72, 680,827.86 and 278,495.64 is: 384,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,353.72 : 680,827.86 = 278,495.64 : x
  2. Step 2: Convert to fraction form
    493,353.72/680,827.86 = 278,495.64/x
  3. Step 3: Cross multiply
    493,353.72x = 680,827.86 × 278,495.64
  4. Step 4: Simplify right side
    493,353.72x = 189,607,590,600.53
  5. Step 5: Solve for x
    x = 189,607,590,600.53/493,353.72
  6. Step 6: Final answer
    x = 384,323.83

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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.