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Finding the Fourth Proportional to 326,513.53, 489,190.22 and 278,642.84

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Solution

The fourth proportional to 326,513.53, 489,190.22 and 278,642.84 is: 417,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,513.53 : 489,190.22 = 278,642.84 : x
  2. Step 2: Convert to fraction form
    326,513.53/489,190.22 = 278,642.84/x
  3. Step 3: Cross multiply
    326,513.53x = 489,190.22 × 278,642.84
  4. Step 4: Simplify right side
    326,513.53x = 136,309,349,406.77
  5. Step 5: Solve for x
    x = 136,309,349,406.77/326,513.53
  6. Step 6: Final answer
    x = 417,469.22

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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.