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Finding the Fourth Proportional to 323,847,136.70, 485,053,259.70 and 280,800,415.70

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Solution

The fourth proportional to 323,847,136.70, 485,053,259.70 and 280,800,415.70 is: 420,578,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,847,136.70 : 485,053,259.70 = 280,800,415.70 : x
  2. Step 2: Convert to fraction form
    323,847,136.70/485,053,259.70 = 280,800,415.70/x
  3. Step 3: Cross multiply
    323,847,136.70x = 485,053,259.70 × 280,800,415.70
  4. Step 4: Simplify right side
    323,847,136.70x = 136,203,156,960,400,048
  5. Step 5: Solve for x
    x = 136,203,156,960,400,048/323,847,136.70
  6. Step 6: Final answer
    x = 420,578,543.16

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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.