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Finding the Fourth Proportional to 379,347.84, 523,494.84 and 209,584.80

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Solution

The fourth proportional to 379,347.84, 523,494.84 and 209,584.80 is: 289,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,347.84 : 523,494.84 = 209,584.80 : x
  2. Step 2: Convert to fraction form
    379,347.84/523,494.84 = 209,584.80/x
  3. Step 3: Cross multiply
    379,347.84x = 523,494.84 × 209,584.80
  4. Step 4: Simplify right side
    379,347.84x = 109,716,561,342.43
  5. Step 5: Solve for x
    x = 109,716,561,342.43/379,347.84
  6. Step 6: Final answer
    x = 289,224.16

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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.