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Finding the Fourth Proportional to 510,991.06, 705,168.33 and 278,416.90

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Solution

The fourth proportional to 510,991.06, 705,168.33 and 278,416.90 is: 384,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,991.06 : 705,168.33 = 278,416.90 : x
  2. Step 2: Convert to fraction form
    510,991.06/705,168.33 = 278,416.90/x
  3. Step 3: Cross multiply
    510,991.06x = 705,168.33 × 278,416.90
  4. Step 4: Simplify right side
    510,991.06x = 196,330,775,498.85
  5. Step 5: Solve for x
    x = 196,330,775,498.85/510,991.06
  6. Step 6: Final answer
    x = 384,215.68

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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.