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Finding the Fourth Proportional to 303,959.90, 419,516.75 and 176,709.31

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Solution

The fourth proportional to 303,959.90, 419,516.75 and 176,709.31 is: 243,889.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,959.90 : 419,516.75 = 176,709.31 : x
  2. Step 2: Convert to fraction form
    303,959.90/419,516.75 = 176,709.31/x
  3. Step 3: Cross multiply
    303,959.90x = 419,516.75 × 176,709.31
  4. Step 4: Simplify right side
    303,959.90x = 74,132,514,818.92
  5. Step 5: Solve for x
    x = 74,132,514,818.92/303,959.90
  6. Step 6: Final answer
    x = 243,889.13

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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.