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Finding the Fourth Proportional to 200,080.10, 280,578.70 and 200,080.10

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Solution

The fourth proportional to 200,080.10, 280,578.70 and 200,080.10 is: 280,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,080.10 : 280,578.70 = 200,080.10 : x
  2. Step 2: Convert to fraction form
    200,080.10/280,578.70 = 200,080.10/x
  3. Step 3: Cross multiply
    200,080.10x = 280,578.70 × 200,080.10
  4. Step 4: Simplify right side
    200,080.10x = 56,138,214,353.87
  5. Step 5: Solve for x
    x = 56,138,214,353.87/200,080.10
  6. Step 6: Final answer
    x = 280,578.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.