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Finding the Fourth Proportional to 200,771,998.40, 300,591,127.20 and 200,771,998.40

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Solution

The fourth proportional to 200,771,998.40, 300,591,127.20 and 200,771,998.40 is: 300,591,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,771,998.40 : 300,591,127.20 = 200,771,998.40 : x
  2. Step 2: Convert to fraction form
    200,771,998.40/300,591,127.20 = 200,771,998.40/x
  3. Step 3: Cross multiply
    200,771,998.40x = 300,591,127.20 × 200,771,998.40
  4. Step 4: Simplify right side
    200,771,998.40x = 60,350,281,309,252,592
  5. Step 5: Solve for x
    x = 60,350,281,309,252,592/200,771,998.40
  6. Step 6: Final answer
    x = 300,591,127.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.