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Finding the Fourth Proportional to 298,948.34, 412,315.43 and 191,528.43

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Solution

The fourth proportional to 298,948.34, 412,315.43 and 191,528.43 is: 264,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,948.34 : 412,315.43 = 191,528.43 : x
  2. Step 2: Convert to fraction form
    298,948.34/412,315.43 = 191,528.43/x
  3. Step 3: Cross multiply
    298,948.34x = 412,315.43 × 191,528.43
  4. Step 4: Simplify right side
    298,948.34x = 78,970,126,015.03
  5. Step 5: Solve for x
    x = 78,970,126,015.03/298,948.34
  6. Step 6: Final answer
    x = 264,159.78

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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.