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Finding the Fourth Proportional to 313,105.99, 470,305.85 and 299,461.15

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Solution

The fourth proportional to 313,105.99, 470,305.85 and 299,461.15 is: 449,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,105.99 : 470,305.85 = 299,461.15 : x
  2. Step 2: Convert to fraction form
    313,105.99/470,305.85 = 299,461.15/x
  3. Step 3: Cross multiply
    313,105.99x = 470,305.85 × 299,461.15
  4. Step 4: Simplify right side
    313,105.99x = 140,838,329,783.30
  5. Step 5: Solve for x
    x = 140,838,329,783.30/313,105.99
  6. Step 6: Final answer
    x = 449,810.40

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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.