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Finding the Fourth Proportional to 493,329.96, 680,746.14 and 278,428.52

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Solution

The fourth proportional to 493,329.96, 680,746.14 and 278,428.52 is: 384,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,329.96 : 680,746.14 = 278,428.52 : x
  2. Step 2: Convert to fraction form
    493,329.96/680,746.14 = 278,428.52/x
  3. Step 3: Cross multiply
    493,329.96x = 680,746.14 × 278,428.52
  4. Step 4: Simplify right side
    493,329.96x = 189,539,141,957.78
  5. Step 5: Solve for x
    x = 189,539,141,957.78/493,329.96
  6. Step 6: Final answer
    x = 384,203.59

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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.