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Finding the Fourth Proportional to 200,428, 276,580.84 and 109,784.40

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Solution

The fourth proportional to 200,428, 276,580.84 and 109,784.40 is: 151,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,428 : 276,580.84 = 109,784.40 : x
  2. Step 2: Convert to fraction form
    200,428/276,580.84 = 109,784.40/x
  3. Step 3: Cross multiply
    200,428x = 276,580.84 × 109,784.40
  4. Step 4: Simplify right side
    200,428x = 30,364,261,570.90
  5. Step 5: Solve for x
    x = 30,364,261,570.90/200,428
  6. Step 6: Final answer
    x = 151,497.10

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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.