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Finding the Fourth Proportional to 290,722.72, 401,356.56 and 176,021.92

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Solution

The fourth proportional to 290,722.72, 401,356.56 and 176,021.92 is: 243,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,722.72 : 401,356.56 = 176,021.92 : x
  2. Step 2: Convert to fraction form
    290,722.72/401,356.56 = 176,021.92/x
  3. Step 3: Cross multiply
    290,722.72x = 401,356.56 × 176,021.92
  4. Step 4: Simplify right side
    290,722.72x = 70,647,552,295.80
  5. Step 5: Solve for x
    x = 70,647,552,295.80/290,722.72
  6. Step 6: Final answer
    x = 243,006.64

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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.