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Finding the Fourth Proportional to 379,551.54, 523,781.28 and 209,785.74

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Solution

The fourth proportional to 379,551.54, 523,781.28 and 209,785.74 is: 289,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,551.54 : 523,781.28 = 209,785.74 : x
  2. Step 2: Convert to fraction form
    379,551.54/523,781.28 = 209,785.74/x
  3. Step 3: Cross multiply
    379,551.54x = 523,781.28 × 209,785.74
  4. Step 4: Simplify right side
    379,551.54x = 109,881,843,422.95
  5. Step 5: Solve for x
    x = 109,881,843,422.95/379,551.54
  6. Step 6: Final answer
    x = 289,504.41

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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.