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Finding the Fourth Proportional to 354,515.72, 489,471.24 and 272,698.68

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Solution

The fourth proportional to 354,515.72, 489,471.24 and 272,698.68 is: 376,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,515.72 : 489,471.24 = 272,698.68 : x
  2. Step 2: Convert to fraction form
    354,515.72/489,471.24 = 272,698.68/x
  3. Step 3: Cross multiply
    354,515.72x = 489,471.24 × 272,698.68
  4. Step 4: Simplify right side
    354,515.72x = 133,478,161,045.96
  5. Step 5: Solve for x
    x = 133,478,161,045.96/354,515.72
  6. Step 6: Final answer
    x = 376,508.44

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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.