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Finding the Fourth Proportional to 379,447.78, 523,638.12 and 209,681.91

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Solution

The fourth proportional to 379,447.78, 523,638.12 and 209,681.91 is: 289,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,447.78 : 523,638.12 = 209,681.91 : x
  2. Step 2: Convert to fraction form
    379,447.78/523,638.12 = 209,681.91/x
  3. Step 3: Cross multiply
    379,447.78x = 523,638.12 × 209,681.91
  4. Step 4: Simplify right side
    379,447.78x = 109,797,441,150.41
  5. Step 5: Solve for x
    x = 109,797,441,150.41/379,447.78
  6. Step 6: Final answer
    x = 289,361.14

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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.