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Finding the Fourth Proportional to 200,204,074.40, 280,688,812 and 200,204,074.40

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Solution

The fourth proportional to 200,204,074.40, 280,688,812 and 200,204,074.40 is: 280,688,812

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,204,074.40 : 280,688,812 = 200,204,074.40 : x
  2. Step 2: Convert to fraction form
    200,204,074.40/280,688,812 = 200,204,074.40/x
  3. Step 3: Cross multiply
    200,204,074.40x = 280,688,812 × 200,204,074.40
  4. Step 4: Simplify right side
    200,204,074.40x = 56,195,043,800,895,616
  5. Step 5: Solve for x
    x = 56,195,043,800,895,616/200,204,074.40
  6. Step 6: Final answer
    x = 280,688,812

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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.