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Finding the Fourth Proportional to 379,656.75, 523,937.25 and 209,901.81

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Solution

The fourth proportional to 379,656.75, 523,937.25 and 209,901.81 is: 289,670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,656.75 : 523,937.25 = 209,901.81 : x
  2. Step 2: Convert to fraction form
    379,656.75/523,937.25 = 209,901.81/x
  3. Step 3: Cross multiply
    379,656.75x = 523,937.25 × 209,901.81
  4. Step 4: Simplify right side
    379,656.75x = 109,975,377,101.42
  5. Step 5: Solve for x
    x = 109,975,377,101.42/379,656.75
  6. Step 6: Final answer
    x = 289,670.54

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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.