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Finding the Fourth Proportional to 287,344.17, 396,120.69 and 201,035.77

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Solution

The fourth proportional to 287,344.17, 396,120.69 and 201,035.77 is: 277,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,344.17 : 396,120.69 = 201,035.77 : x
  2. Step 2: Convert to fraction form
    287,344.17/396,120.69 = 201,035.77/x
  3. Step 3: Cross multiply
    287,344.17x = 396,120.69 × 201,035.77
  4. Step 4: Simplify right side
    287,344.17x = 79,634,426,936.78
  5. Step 5: Solve for x
    x = 79,634,426,936.78/287,344.17
  6. Step 6: Final answer
    x = 277,139.53

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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.