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Finding the Fourth Proportional to 493,466.52, 680,984.10 and 278,607

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Solution

The fourth proportional to 493,466.52, 680,984.10 and 278,607 is: 384,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,466.52 : 680,984.10 = 278,607 : x
  2. Step 2: Convert to fraction form
    493,466.52/680,984.10 = 278,607/x
  3. Step 3: Cross multiply
    493,466.52x = 680,984.10 × 278,607
  4. Step 4: Simplify right side
    493,466.52x = 189,726,937,148.70
  5. Step 5: Solve for x
    x = 189,726,937,148.70/493,466.52
  6. Step 6: Final answer
    x = 384,477.83

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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.