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Finding the Fourth Proportional to 313,663,217.70, 470,494,826.55 and 299,554,443.30

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Solution

The fourth proportional to 313,663,217.70, 470,494,826.55 and 299,554,443.30 is: 449,331,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,663,217.70 : 470,494,826.55 = 299,554,443.30 : x
  2. Step 2: Convert to fraction form
    313,663,217.70/470,494,826.55 = 299,554,443.30/x
  3. Step 3: Cross multiply
    313,663,217.70x = 470,494,826.55 × 299,554,443.30
  4. Step 4: Simplify right side
    313,663,217.70x = 140,938,815,842,715,312
  5. Step 5: Solve for x
    x = 140,938,815,842,715,312/313,663,217.70
  6. Step 6: Final answer
    x = 449,331,664.95

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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.