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Finding the Fourth Proportional to 255,199.49, 382,717.60 and 84,389.48

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Solution

The fourth proportional to 255,199.49, 382,717.60 and 84,389.48 is: 126,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,199.49 : 382,717.60 = 84,389.48 : x
  2. Step 2: Convert to fraction form
    255,199.49/382,717.60 = 84,389.48/x
  3. Step 3: Cross multiply
    255,199.49x = 382,717.60 × 84,389.48
  4. Step 4: Simplify right side
    255,199.49x = 32,297,337,337.26
  5. Step 5: Solve for x
    x = 32,297,337,337.26/255,199.49
  6. Step 6: Final answer
    x = 126,557.22

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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.