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Finding the Fourth Proportional to 379,548.54, 523,777.14 and 209,782.71

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Solution

The fourth proportional to 379,548.54, 523,777.14 and 209,782.71 is: 289,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,548.54 : 523,777.14 = 209,782.71 : x
  2. Step 2: Convert to fraction form
    379,548.54/523,777.14 = 209,782.71/x
  3. Step 3: Cross multiply
    379,548.54x = 523,777.14 × 209,782.71
  4. Step 4: Simplify right side
    379,548.54x = 109,879,387,865.25
  5. Step 5: Solve for x
    x = 109,879,387,865.25/379,548.54
  6. Step 6: Final answer
    x = 289,500.23

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1.5x scale

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.