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Finding the Fourth Proportional to 379,496.25, 523,697.81 and 209,726.73

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Solution

The fourth proportional to 379,496.25, 523,697.81 and 209,726.73 is: 289,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,496.25 : 523,697.81 = 209,726.73 : x
  2. Step 2: Convert to fraction form
    379,496.25/523,697.81 = 209,726.73/x
  3. Step 3: Cross multiply
    379,496.25x = 523,697.81 × 209,726.73
  4. Step 4: Simplify right side
    379,496.25x = 109,833,428,150.83
  5. Step 5: Solve for x
    x = 109,833,428,150.83/379,496.25
  6. Step 6: Final answer
    x = 289,419.01

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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.