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Finding the Fourth Proportional to 508,277.76, 701,418.24 and 281,917.44

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Solution

The fourth proportional to 508,277.76, 701,418.24 and 281,917.44 is: 389,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,277.76 : 701,418.24 = 281,917.44 : x
  2. Step 2: Convert to fraction form
    508,277.76/701,418.24 = 281,917.44/x
  3. Step 3: Cross multiply
    508,277.76x = 701,418.24 × 281,917.44
  4. Step 4: Simplify right side
    508,277.76x = 197,742,034,590.11
  5. Step 5: Solve for x
    x = 197,742,034,590.11/508,277.76
  6. Step 6: Final answer
    x = 389,043.26

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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.