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Finding the Fourth Proportional to 493,982.70, 681,445.32 and 312,388.80

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Solution

The fourth proportional to 493,982.70, 681,445.32 and 312,388.80 is: 430,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,982.70 : 681,445.32 = 312,388.80 : x
  2. Step 2: Convert to fraction form
    493,982.70/681,445.32 = 312,388.80/x
  3. Step 3: Cross multiply
    493,982.70x = 681,445.32 × 312,388.80
  4. Step 4: Simplify right side
    493,982.70x = 212,875,885,780.42
  5. Step 5: Solve for x
    x = 212,875,885,780.42/493,982.70
  6. Step 6: Final answer
    x = 430,937.94

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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.