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Finding the Fourth Proportional to 449,973,117.80, 674,959,676.70 and 313,812,247.40

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Solution

The fourth proportional to 449,973,117.80, 674,959,676.70 and 313,812,247.40 is: 470,718,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,973,117.80 : 674,959,676.70 = 313,812,247.40 : x
  2. Step 2: Convert to fraction form
    449,973,117.80/674,959,676.70 = 313,812,247.40/x
  3. Step 3: Cross multiply
    449,973,117.80x = 674,959,676.70 × 313,812,247.40
  4. Step 4: Simplify right side
    449,973,117.80x = 211,810,613,049,604,416
  5. Step 5: Solve for x
    x = 211,810,613,049,604,416/449,973,117.80
  6. Step 6: Final answer
    x = 470,718,371.10

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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.