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Finding the Fourth Proportional to 309,754.72, 427,592 and 209,288.80

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Solution

The fourth proportional to 309,754.72, 427,592 and 209,288.80 is: 288,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,754.72 : 427,592 = 209,288.80 : x
  2. Step 2: Convert to fraction form
    309,754.72/427,592 = 209,288.80/x
  3. Step 3: Cross multiply
    309,754.72x = 427,592 × 209,288.80
  4. Step 4: Simplify right side
    309,754.72x = 89,490,216,569.60
  5. Step 5: Solve for x
    x = 89,490,216,569.60/309,754.72
  6. Step 6: Final answer
    x = 288,906.71

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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.