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Finding the Fourth Proportional to 493,029.84, 680,367.33 and 278,189.90

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Solution

The fourth proportional to 493,029.84, 680,367.33 and 278,189.90 is: 383,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,029.84 : 680,367.33 = 278,189.90 : x
  2. Step 2: Convert to fraction form
    493,029.84/680,367.33 = 278,189.90/x
  3. Step 3: Cross multiply
    493,029.84x = 680,367.33 × 278,189.90
  4. Step 4: Simplify right side
    493,029.84x = 189,271,316,094.13
  5. Step 5: Solve for x
    x = 189,271,316,094.13/493,029.84
  6. Step 6: Final answer
    x = 383,894.24

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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.