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Finding the Fourth Proportional to 369,906.81, 510,471.38 and 200,140.94

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Solution

The fourth proportional to 369,906.81, 510,471.38 and 200,140.94 is: 276,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,906.81 : 510,471.38 = 200,140.94 : x
  2. Step 2: Convert to fraction form
    369,906.81/510,471.38 = 200,140.94/x
  3. Step 3: Cross multiply
    369,906.81x = 510,471.38 × 200,140.94
  4. Step 4: Simplify right side
    369,906.81x = 102,166,218,283.24
  5. Step 5: Solve for x
    x = 102,166,218,283.24/369,906.81
  6. Step 6: Final answer
    x = 276,194.48

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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.