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Finding the Fourth Proportional to 313,243,399.80, 469,865,099.70 and 266,885,998.20

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Solution

The fourth proportional to 313,243,399.80, 469,865,099.70 and 266,885,998.20 is: 400,328,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,243,399.80 : 469,865,099.70 = 266,885,998.20 : x
  2. Step 2: Convert to fraction form
    313,243,399.80/469,865,099.70 = 266,885,998.20/x
  3. Step 3: Cross multiply
    313,243,399.80x = 469,865,099.70 × 266,885,998.20
  4. Step 4: Simplify right side
    313,243,399.80x = 125,400,416,152,777,008
  5. Step 5: Solve for x
    x = 125,400,416,152,777,008/313,243,399.80
  6. Step 6: Final answer
    x = 400,328,997.30

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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.