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Finding the Fourth Proportional to 200,420.84, 276,580.82 and 109,778.32

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Solution

The fourth proportional to 200,420.84, 276,580.82 and 109,778.32 is: 151,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,420.84 : 276,580.82 = 109,778.32 : x
  2. Step 2: Convert to fraction form
    200,420.84/276,580.82 = 109,778.32/x
  3. Step 3: Cross multiply
    200,420.84x = 276,580.82 × 109,778.32
  4. Step 4: Simplify right side
    200,420.84x = 30,362,576,380.92
  5. Step 5: Solve for x
    x = 30,362,576,380.92/200,420.84
  6. Step 6: Final answer
    x = 151,494.11

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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.