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Finding the Fourth Proportional to 409,916.28, 614,939.62 and 173,261

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Solution

The fourth proportional to 409,916.28, 614,939.62 and 173,261 is: 259,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,916.28 : 614,939.62 = 173,261 : x
  2. Step 2: Convert to fraction form
    409,916.28/614,939.62 = 173,261/x
  3. Step 3: Cross multiply
    409,916.28x = 614,939.62 × 173,261
  4. Step 4: Simplify right side
    409,916.28x = 106,545,053,500.82
  5. Step 5: Solve for x
    x = 106,545,053,500.82/409,916.28
  6. Step 6: Final answer
    x = 259,919.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.